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Finding the Fourth Proportional to 117.64, 175.59 and 116.34

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Solution

The fourth proportional to 117.64, 175.59 and 116.34 is: 173.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.64 : 175.59 = 116.34 : x
  2. Step 2: Convert to fraction form
    117.64/175.59 = 116.34/x
  3. Step 3: Cross multiply
    117.64x = 175.59 × 116.34
  4. Step 4: Simplify right side
    117.64x = 20,428.01
  5. Step 5: Solve for x
    x = 20,428.01/117.64
  6. Step 6: Final answer
    x = 173.65

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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.