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Finding the Fourth Proportional to 101.50, 151.55 and 86.02

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Solution

The fourth proportional to 101.50, 151.55 and 86.02 is: 128.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.50 : 151.55 = 86.02 : x
  2. Step 2: Convert to fraction form
    101.50/151.55 = 86.02/x
  3. Step 3: Cross multiply
    101.50x = 151.55 × 86.02
  4. Step 4: Simplify right side
    101.50x = 13,036.33
  5. Step 5: Solve for x
    x = 13,036.33/101.50
  6. Step 6: Final answer
    x = 128.44

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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.