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Finding the Fourth Proportional to 99.32, 148.81 and 53.70

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Solution

The fourth proportional to 99.32, 148.81 and 53.70 is: 80.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.32 : 148.81 = 53.70 : x
  2. Step 2: Convert to fraction form
    99.32/148.81 = 53.70/x
  3. Step 3: Cross multiply
    99.32x = 148.81 × 53.70
  4. Step 4: Simplify right side
    99.32x = 7,992.03
  5. Step 5: Solve for x
    x = 7,992.03/99.32
  6. Step 6: Final answer
    x = 80.46

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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.