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Finding the Fourth Proportional to 61.03, 91.32 and 38.22

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Solution

The fourth proportional to 61.03, 91.32 and 38.22 is: 57.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.03 : 91.32 = 38.22 : x
  2. Step 2: Convert to fraction form
    61.03/91.32 = 38.22/x
  3. Step 3: Cross multiply
    61.03x = 91.32 × 38.22
  4. Step 4: Simplify right side
    61.03x = 3,490.25
  5. Step 5: Solve for x
    x = 3,490.25/61.03
  6. Step 6: Final answer
    x = 57.19

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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.