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Finding the Fourth Proportional to 74.06, 102.12 and 59.48

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Solution

The fourth proportional to 74.06, 102.12 and 59.48 is: 82.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.06 : 102.12 = 59.48 : x
  2. Step 2: Convert to fraction form
    74.06/102.12 = 59.48/x
  3. Step 3: Cross multiply
    74.06x = 102.12 × 59.48
  4. Step 4: Simplify right side
    74.06x = 6,074.10
  5. Step 5: Solve for x
    x = 6,074.10/74.06
  6. Step 6: Final answer
    x = 82.02

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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.