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Finding the Fourth Proportional to 61.43, 91.60 and 58.01

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Solution

The fourth proportional to 61.43, 91.60 and 58.01 is: 86.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.43 : 91.60 = 58.01 : x
  2. Step 2: Convert to fraction form
    61.43/91.60 = 58.01/x
  3. Step 3: Cross multiply
    61.43x = 91.60 × 58.01
  4. Step 4: Simplify right side
    61.43x = 5,313.72
  5. Step 5: Solve for x
    x = 5,313.72/61.43
  6. Step 6: Final answer
    x = 86.50

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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.