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Finding the Fourth Proportional to 62.53, 92.96 and 58.21

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Solution

The fourth proportional to 62.53, 92.96 and 58.21 is: 86.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.53 : 92.96 = 58.21 : x
  2. Step 2: Convert to fraction form
    62.53/92.96 = 58.21/x
  3. Step 3: Cross multiply
    62.53x = 92.96 × 58.21
  4. Step 4: Simplify right side
    62.53x = 5,411.20
  5. Step 5: Solve for x
    x = 5,411.20/62.53
  6. Step 6: Final answer
    x = 86.54

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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.