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Finding the Fourth Proportional to 74.04, 102.03 and 52.14

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Solution

The fourth proportional to 74.04, 102.03 and 52.14 is: 71.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.04 : 102.03 = 52.14 : x
  2. Step 2: Convert to fraction form
    74.04/102.03 = 52.14/x
  3. Step 3: Cross multiply
    74.04x = 102.03 × 52.14
  4. Step 4: Simplify right side
    74.04x = 5,319.84
  5. Step 5: Solve for x
    x = 5,319.84/74.04
  6. Step 6: Final answer
    x = 71.85

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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.