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Finding the Fourth Proportional to 61.57, 92.33 and 20.98

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Solution

The fourth proportional to 61.57, 92.33 and 20.98 is: 31.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.57 : 92.33 = 20.98 : x
  2. Step 2: Convert to fraction form
    61.57/92.33 = 20.98/x
  3. Step 3: Cross multiply
    61.57x = 92.33 × 20.98
  4. Step 4: Simplify right side
    61.57x = 1,937.17
  5. Step 5: Solve for x
    x = 1,937.17/61.57
  6. Step 6: Final answer
    x = 31.46

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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.