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Finding the Fourth Proportional to 99.45, 148.91 and 75.05

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Solution

The fourth proportional to 99.45, 148.91 and 75.05 is: 112.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.45 : 148.91 = 75.05 : x
  2. Step 2: Convert to fraction form
    99.45/148.91 = 75.05/x
  3. Step 3: Cross multiply
    99.45x = 148.91 × 75.05
  4. Step 4: Simplify right side
    99.45x = 11,174.58
  5. Step 5: Solve for x
    x = 11,174.58/99.45
  6. Step 6: Final answer
    x = 112.36

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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.