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Finding the Fourth Proportional to 74.52, 112.41 and 70.02

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Solution

The fourth proportional to 74.52, 112.41 and 70.02 is: 105.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.52 : 112.41 = 70.02 : x
  2. Step 2: Convert to fraction form
    74.52/112.41 = 70.02/x
  3. Step 3: Cross multiply
    74.52x = 112.41 × 70.02
  4. Step 4: Simplify right side
    74.52x = 7,870.95
  5. Step 5: Solve for x
    x = 7,870.95/74.52
  6. Step 6: Final answer
    x = 105.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.