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Finding the Fourth Proportional to 100.48, 137.92 and 95.08

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Solution

The fourth proportional to 100.48, 137.92 and 95.08 is: 130.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.48 : 137.92 = 95.08 : x
  2. Step 2: Convert to fraction form
    100.48/137.92 = 95.08/x
  3. Step 3: Cross multiply
    100.48x = 137.92 × 95.08
  4. Step 4: Simplify right side
    100.48x = 13,113.43
  5. Step 5: Solve for x
    x = 13,113.43/100.48
  6. Step 6: Final answer
    x = 130.51

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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.