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Finding the Fourth Proportional to 74.04, 102.24 and 59.46

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Solution

The fourth proportional to 74.04, 102.24 and 59.46 is: 82.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.04 : 102.24 = 59.46 : x
  2. Step 2: Convert to fraction form
    74.04/102.24 = 59.46/x
  3. Step 3: Cross multiply
    74.04x = 102.24 × 59.46
  4. Step 4: Simplify right side
    74.04x = 6,079.19
  5. Step 5: Solve for x
    x = 6,079.19/74.04
  6. Step 6: Final answer
    x = 82.11

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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.