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Finding the Fourth Proportional to 101.00, 151.52 and 90.90

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Solution

The fourth proportional to 101.00, 151.52 and 90.90 is: 136.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.00 : 151.52 = 90.90 : x
  2. Step 2: Convert to fraction form
    101.00/151.52 = 90.90/x
  3. Step 3: Cross multiply
    101.00x = 151.52 × 90.90
  4. Step 4: Simplify right side
    101.00x = 13,772.71
  5. Step 5: Solve for x
    x = 13,772.71/101.00
  6. Step 6: Final answer
    x = 136.37

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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.