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Finding the Fourth Proportional to 99.47, 149.15 and 51.38

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Solution

The fourth proportional to 99.47, 149.15 and 51.38 is: 77.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.47 : 149.15 = 51.38 : x
  2. Step 2: Convert to fraction form
    99.47/149.15 = 51.38/x
  3. Step 3: Cross multiply
    99.47x = 149.15 × 51.38
  4. Step 4: Simplify right side
    99.47x = 7,662.32
  5. Step 5: Solve for x
    x = 7,662.32/99.47
  6. Step 6: Final answer
    x = 77.03

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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.