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Finding the Fourth Proportional to 61.31, 91.88 and 28.80

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Solution

The fourth proportional to 61.31, 91.88 and 28.80 is: 43.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.31 : 91.88 = 28.80 : x
  2. Step 2: Convert to fraction form
    61.31/91.88 = 28.80/x
  3. Step 3: Cross multiply
    61.31x = 91.88 × 28.80
  4. Step 4: Simplify right side
    61.31x = 2,646.14
  5. Step 5: Solve for x
    x = 2,646.14/61.31
  6. Step 6: Final answer
    x = 43.16

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