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Finding the Fourth Proportional to 74.52, 102.24 and 70.74

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Solution

The fourth proportional to 74.52, 102.24 and 70.74 is: 97.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.52 : 102.24 = 70.74 : x
  2. Step 2: Convert to fraction form
    74.52/102.24 = 70.74/x
  3. Step 3: Cross multiply
    74.52x = 102.24 × 70.74
  4. Step 4: Simplify right side
    74.52x = 7,232.46
  5. Step 5: Solve for x
    x = 7,232.46/74.52
  6. Step 6: Final answer
    x = 97.05

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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.