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Finding the Fourth Proportional to 74.34, 102.54 and 73.14

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Solution

The fourth proportional to 74.34, 102.54 and 73.14 is: 100.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.34 : 102.54 = 73.14 : x
  2. Step 2: Convert to fraction form
    74.34/102.54 = 73.14/x
  3. Step 3: Cross multiply
    74.34x = 102.54 × 73.14
  4. Step 4: Simplify right side
    74.34x = 7,499.78
  5. Step 5: Solve for x
    x = 7,499.78/74.34
  6. Step 6: Final answer
    x = 100.88

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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.