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Finding the Fourth Proportional to 101.48, 151.95 and 84.24

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Solution

The fourth proportional to 101.48, 151.95 and 84.24 is: 126.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.48 : 151.95 = 84.24 : x
  2. Step 2: Convert to fraction form
    101.48/151.95 = 84.24/x
  3. Step 3: Cross multiply
    101.48x = 151.95 × 84.24
  4. Step 4: Simplify right side
    101.48x = 12,800.35
  5. Step 5: Solve for x
    x = 12,800.35/101.48
  6. Step 6: Final answer
    x = 126.14

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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.