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Finding the Fourth Proportional to 100.32, 137.73 and 90.60

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Solution

The fourth proportional to 100.32, 137.73 and 90.60 is: 124.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.32 : 137.73 = 90.60 : x
  2. Step 2: Convert to fraction form
    100.32/137.73 = 90.60/x
  3. Step 3: Cross multiply
    100.32x = 137.73 × 90.60
  4. Step 4: Simplify right side
    100.32x = 12,478.34
  5. Step 5: Solve for x
    x = 12,478.34/100.32
  6. Step 6: Final answer
    x = 124.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.