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Finding the Fourth Proportional to 117.70, 175.66 and 103.10

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Solution

The fourth proportional to 117.70, 175.66 and 103.10 is: 153.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.70 : 175.66 = 103.10 : x
  2. Step 2: Convert to fraction form
    117.70/175.66 = 103.10/x
  3. Step 3: Cross multiply
    117.70x = 175.66 × 103.10
  4. Step 4: Simplify right side
    117.70x = 18,109.76
  5. Step 5: Solve for x
    x = 18,109.76/117.70
  6. Step 6: Final answer
    x = 153.86

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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.