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Finding the Fourth Proportional to 99.28, 148.84 and 35.16

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Solution

The fourth proportional to 99.28, 148.84 and 35.16 is: 52.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.28 : 148.84 = 35.16 : x
  2. Step 2: Convert to fraction form
    99.28/148.84 = 35.16/x
  3. Step 3: Cross multiply
    99.28x = 148.84 × 35.16
  4. Step 4: Simplify right side
    99.28x = 5,233.21
  5. Step 5: Solve for x
    x = 5,233.21/99.28
  6. Step 6: Final answer
    x = 52.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.