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Finding the Fourth Proportional to 74.14, 101.58 and 73.24

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Solution

The fourth proportional to 74.14, 101.58 and 73.24 is: 100.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.14 : 101.58 = 73.24 : x
  2. Step 2: Convert to fraction form
    74.14/101.58 = 73.24/x
  3. Step 3: Cross multiply
    74.14x = 101.58 × 73.24
  4. Step 4: Simplify right side
    74.14x = 7,439.72
  5. Step 5: Solve for x
    x = 7,439.72/74.14
  6. Step 6: Final answer
    x = 100.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.