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Finding the Fourth Proportional to 99.32, 149 and 45.23

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Solution

The fourth proportional to 99.32, 149 and 45.23 is: 67.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.32 : 149 = 45.23 : x
  2. Step 2: Convert to fraction form
    99.32/149 = 45.23/x
  3. Step 3: Cross multiply
    99.32x = 149 × 45.23
  4. Step 4: Simplify right side
    99.32x = 6,739.27
  5. Step 5: Solve for x
    x = 6,739.27/99.32
  6. Step 6: Final answer
    x = 67.85

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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.