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Finding the Fourth Proportional to 61.66, 91.82 and 58.55

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Solution

The fourth proportional to 61.66, 91.82 and 58.55 is: 87.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.66 : 91.82 = 58.55 : x
  2. Step 2: Convert to fraction form
    61.66/91.82 = 58.55/x
  3. Step 3: Cross multiply
    61.66x = 91.82 × 58.55
  4. Step 4: Simplify right side
    61.66x = 5,376.06
  5. Step 5: Solve for x
    x = 5,376.06/61.66
  6. Step 6: Final answer
    x = 87.19

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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.