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Finding the Fourth Proportional to 101.52, 151.44 and 99.60

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Solution

The fourth proportional to 101.52, 151.44 and 99.60 is: 148.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.52 : 151.44 = 99.60 : x
  2. Step 2: Convert to fraction form
    101.52/151.44 = 99.60/x
  3. Step 3: Cross multiply
    101.52x = 151.44 × 99.60
  4. Step 4: Simplify right side
    101.52x = 15,083.42
  5. Step 5: Solve for x
    x = 15,083.42/101.52
  6. Step 6: Final answer
    x = 148.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.