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Finding the Fourth Proportional to 98.81, 148.24 and 50.15

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Solution

The fourth proportional to 98.81, 148.24 and 50.15 is: 75.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.81 : 148.24 = 50.15 : x
  2. Step 2: Convert to fraction form
    98.81/148.24 = 50.15/x
  3. Step 3: Cross multiply
    98.81x = 148.24 × 50.15
  4. Step 4: Simplify right side
    98.81x = 7,434.48
  5. Step 5: Solve for x
    x = 7,434.48/98.81
  6. Step 6: Final answer
    x = 75.24

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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.