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Finding the Fourth Proportional to 101.25, 152.69 and 90.11

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Solution

The fourth proportional to 101.25, 152.69 and 90.11 is: 135.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.25 : 152.69 = 90.11 : x
  2. Step 2: Convert to fraction form
    101.25/152.69 = 90.11/x
  3. Step 3: Cross multiply
    101.25x = 152.69 × 90.11
  4. Step 4: Simplify right side
    101.25x = 13,758.83
  5. Step 5: Solve for x
    x = 13,758.83/101.25
  6. Step 6: Final answer
    x = 135.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.