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Finding the Fourth Proportional to 75.01, 102.87 and 71.89

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Solution

The fourth proportional to 75.01, 102.87 and 71.89 is: 98.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.01 : 102.87 = 71.89 : x
  2. Step 2: Convert to fraction form
    75.01/102.87 = 71.89/x
  3. Step 3: Cross multiply
    75.01x = 102.87 × 71.89
  4. Step 4: Simplify right side
    75.01x = 7,395.65
  5. Step 5: Solve for x
    x = 7,395.65/75.01
  6. Step 6: Final answer
    x = 98.60

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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.