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Finding the Fourth Proportional to 74.02, 101.85 and 58.42

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Solution

The fourth proportional to 74.02, 101.85 and 58.42 is: 80.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.02 : 101.85 = 58.42 : x
  2. Step 2: Convert to fraction form
    74.02/101.85 = 58.42/x
  3. Step 3: Cross multiply
    74.02x = 101.85 × 58.42
  4. Step 4: Simplify right side
    74.02x = 5,950.08
  5. Step 5: Solve for x
    x = 5,950.08/74.02
  6. Step 6: Final answer
    x = 80.38

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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.