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Finding the Fourth Proportional to 40.68, 60.76 and 31.57

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Solution

The fourth proportional to 40.68, 60.76 and 31.57 is: 47.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.68 : 60.76 = 31.57 : x
  2. Step 2: Convert to fraction form
    40.68/60.76 = 31.57/x
  3. Step 3: Cross multiply
    40.68x = 60.76 × 31.57
  4. Step 4: Simplify right side
    40.68x = 1,918.19
  5. Step 5: Solve for x
    x = 1,918.19/40.68
  6. Step 6: Final answer
    x = 47.15

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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.