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Finding the Fourth Proportional to 99.02, 148.41 and 84.53

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Solution

The fourth proportional to 99.02, 148.41 and 84.53 is: 126.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.02 : 148.41 = 84.53 : x
  2. Step 2: Convert to fraction form
    99.02/148.41 = 84.53/x
  3. Step 3: Cross multiply
    99.02x = 148.41 × 84.53
  4. Step 4: Simplify right side
    99.02x = 12,544.36
  5. Step 5: Solve for x
    x = 12,544.36/99.02
  6. Step 6: Final answer
    x = 126.69

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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.