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Finding the Fourth Proportional to 99.14, 148.68 and 34.16

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Solution

The fourth proportional to 99.14, 148.68 and 34.16 is: 51.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.14 : 148.68 = 34.16 : x
  2. Step 2: Convert to fraction form
    99.14/148.68 = 34.16/x
  3. Step 3: Cross multiply
    99.14x = 148.68 × 34.16
  4. Step 4: Simplify right side
    99.14x = 5,078.17
  5. Step 5: Solve for x
    x = 5,078.17/99.14
  6. Step 6: Final answer
    x = 51.22

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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.