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Finding the Fourth Proportional to 61.26, 91.10 and 58.84

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Solution

The fourth proportional to 61.26, 91.10 and 58.84 is: 87.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.26 : 91.10 = 58.84 : x
  2. Step 2: Convert to fraction form
    61.26/91.10 = 58.84/x
  3. Step 3: Cross multiply
    61.26x = 91.10 × 58.84
  4. Step 4: Simplify right side
    61.26x = 5,360.32
  5. Step 5: Solve for x
    x = 5,360.32/61.26
  6. Step 6: Final answer
    x = 87.50

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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.