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Finding the Fourth Proportional to 95.04, 130.98 and 71.68

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Solution

The fourth proportional to 95.04, 130.98 and 71.68 is: 98.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.04 : 130.98 = 71.68 : x
  2. Step 2: Convert to fraction form
    95.04/130.98 = 71.68/x
  3. Step 3: Cross multiply
    95.04x = 130.98 × 71.68
  4. Step 4: Simplify right side
    95.04x = 9,388.65
  5. Step 5: Solve for x
    x = 9,388.65/95.04
  6. Step 6: Final answer
    x = 98.79

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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.