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Finding the Fourth Proportional to 107.28, 159.98 and 101.88

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Solution

The fourth proportional to 107.28, 159.98 and 101.88 is: 151.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.28 : 159.98 = 101.88 : x
  2. Step 2: Convert to fraction form
    107.28/159.98 = 101.88/x
  3. Step 3: Cross multiply
    107.28x = 159.98 × 101.88
  4. Step 4: Simplify right side
    107.28x = 16,298.25
  5. Step 5: Solve for x
    x = 16,298.25/107.28
  6. Step 6: Final answer
    x = 151.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.