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Finding the Fourth Proportional to 60.98, 91.42 and 32.08

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Solution

The fourth proportional to 60.98, 91.42 and 32.08 is: 48.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.98 : 91.42 = 32.08 : x
  2. Step 2: Convert to fraction form
    60.98/91.42 = 32.08/x
  3. Step 3: Cross multiply
    60.98x = 91.42 × 32.08
  4. Step 4: Simplify right side
    60.98x = 2,932.75
  5. Step 5: Solve for x
    x = 2,932.75/60.98
  6. Step 6: Final answer
    x = 48.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.