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Finding the Fourth Proportional to 101.42, 152.10 and 91.24

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Solution

The fourth proportional to 101.42, 152.10 and 91.24 is: 136.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.42 : 152.10 = 91.24 : x
  2. Step 2: Convert to fraction form
    101.42/152.10 = 91.24/x
  3. Step 3: Cross multiply
    101.42x = 152.10 × 91.24
  4. Step 4: Simplify right side
    101.42x = 13,877.60
  5. Step 5: Solve for x
    x = 13,877.60/101.42
  6. Step 6: Final answer
    x = 136.83

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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.