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Finding the Fourth Proportional to 117.04, 173.97 and 114.01

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Solution

The fourth proportional to 117.04, 173.97 and 114.01 is: 169.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.04 : 173.97 = 114.01 : x
  2. Step 2: Convert to fraction form
    117.04/173.97 = 114.01/x
  3. Step 3: Cross multiply
    117.04x = 173.97 × 114.01
  4. Step 4: Simplify right side
    117.04x = 19,834.32
  5. Step 5: Solve for x
    x = 19,834.32/117.04
  6. Step 6: Final answer
    x = 169.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.