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Finding the Fourth Proportional to 99.12, 148.71 and 47.75

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Solution

The fourth proportional to 99.12, 148.71 and 47.75 is: 71.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.12 : 148.71 = 47.75 : x
  2. Step 2: Convert to fraction form
    99.12/148.71 = 47.75/x
  3. Step 3: Cross multiply
    99.12x = 148.71 × 47.75
  4. Step 4: Simplify right side
    99.12x = 7,101.27
  5. Step 5: Solve for x
    x = 7,101.27/99.12
  6. Step 6: Final answer
    x = 71.64

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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.