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Finding the Fourth Proportional to 61.24, 91.24 and 58.12

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Solution

The fourth proportional to 61.24, 91.24 and 58.12 is: 86.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.24 : 91.24 = 58.12 : x
  2. Step 2: Convert to fraction form
    61.24/91.24 = 58.12/x
  3. Step 3: Cross multiply
    61.24x = 91.24 × 58.12
  4. Step 4: Simplify right side
    61.24x = 5,302.87
  5. Step 5: Solve for x
    x = 5,302.87/61.24
  6. Step 6: Final answer
    x = 86.59

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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.