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Finding the Fourth Proportional to 35.17, 52.45 and 31.71

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Solution

The fourth proportional to 35.17, 52.45 and 31.71 is: 47.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.17 : 52.45 = 31.71 : x
  2. Step 2: Convert to fraction form
    35.17/52.45 = 31.71/x
  3. Step 3: Cross multiply
    35.17x = 52.45 × 31.71
  4. Step 4: Simplify right side
    35.17x = 1,663.19
  5. Step 5: Solve for x
    x = 1,663.19/35.17
  6. Step 6: Final answer
    x = 47.29

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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.