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Finding the Fourth Proportional to 99.15, 148.81 and 76.46

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Solution

The fourth proportional to 99.15, 148.81 and 76.46 is: 114.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.15 : 148.81 = 76.46 : x
  2. Step 2: Convert to fraction form
    99.15/148.81 = 76.46/x
  3. Step 3: Cross multiply
    99.15x = 148.81 × 76.46
  4. Step 4: Simplify right side
    99.15x = 11,377.63
  5. Step 5: Solve for x
    x = 11,377.63/99.15
  6. Step 6: Final answer
    x = 114.76

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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.