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Finding the Fourth Proportional to 61.71, 92.58 and 21.13

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Solution

The fourth proportional to 61.71, 92.58 and 21.13 is: 31.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.71 : 92.58 = 21.13 : x
  2. Step 2: Convert to fraction form
    61.71/92.58 = 21.13/x
  3. Step 3: Cross multiply
    61.71x = 92.58 × 21.13
  4. Step 4: Simplify right side
    61.71x = 1,955.90
  5. Step 5: Solve for x
    x = 1,955.90/61.71
  6. Step 6: Final answer
    x = 31.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.