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Finding the Fourth Proportional to 61.74, 91.80 and 58.14

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Solution

The fourth proportional to 61.74, 91.80 and 58.14 is: 86.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.74 : 91.80 = 58.14 : x
  2. Step 2: Convert to fraction form
    61.74/91.80 = 58.14/x
  3. Step 3: Cross multiply
    61.74x = 91.80 × 58.14
  4. Step 4: Simplify right side
    61.74x = 5,337.25
  5. Step 5: Solve for x
    x = 5,337.25/61.74
  6. Step 6: Final answer
    x = 86.45

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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.