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Finding the Fourth Proportional to 147.24, 220.80 and 99.16

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Solution

The fourth proportional to 147.24, 220.80 and 99.16 is: 148.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.24 : 220.80 = 99.16 : x
  2. Step 2: Convert to fraction form
    147.24/220.80 = 99.16/x
  3. Step 3: Cross multiply
    147.24x = 220.80 × 99.16
  4. Step 4: Simplify right side
    147.24x = 21,894.53
  5. Step 5: Solve for x
    x = 21,894.53/147.24
  6. Step 6: Final answer
    x = 148.70

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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.