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Finding the Fourth Proportional to 74.87, 102.56 and 74.06

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Solution

The fourth proportional to 74.87, 102.56 and 74.06 is: 101.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.87 : 102.56 = 74.06 : x
  2. Step 2: Convert to fraction form
    74.87/102.56 = 74.06/x
  3. Step 3: Cross multiply
    74.87x = 102.56 × 74.06
  4. Step 4: Simplify right side
    74.87x = 7,596.04
  5. Step 5: Solve for x
    x = 7,596.04/74.87
  6. Step 6: Final answer
    x = 101.45

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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.