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Finding the Fourth Proportional to 101.93, 152.87 and 61.29

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Solution

The fourth proportional to 101.93, 152.87 and 61.29 is: 91.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.93 : 152.87 = 61.29 : x
  2. Step 2: Convert to fraction form
    101.93/152.87 = 61.29/x
  3. Step 3: Cross multiply
    101.93x = 152.87 × 61.29
  4. Step 4: Simplify right side
    101.93x = 9,369.10
  5. Step 5: Solve for x
    x = 9,369.10/101.93
  6. Step 6: Final answer
    x = 91.92

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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.