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Finding the Fourth Proportional to 130.41, 179.95 and 75.14

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Solution

The fourth proportional to 130.41, 179.95 and 75.14 is: 103.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.41 : 179.95 = 75.14 : x
  2. Step 2: Convert to fraction form
    130.41/179.95 = 75.14/x
  3. Step 3: Cross multiply
    130.41x = 179.95 × 75.14
  4. Step 4: Simplify right side
    130.41x = 13,521.44
  5. Step 5: Solve for x
    x = 13,521.44/130.41
  6. Step 6: Final answer
    x = 103.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.