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Finding the Fourth Proportional to 73.47, 101.41 and 42.41

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Solution

The fourth proportional to 73.47, 101.41 and 42.41 is: 58.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.47 : 101.41 = 42.41 : x
  2. Step 2: Convert to fraction form
    73.47/101.41 = 42.41/x
  3. Step 3: Cross multiply
    73.47x = 101.41 × 42.41
  4. Step 4: Simplify right side
    73.47x = 4,300.29
  5. Step 5: Solve for x
    x = 4,300.29/73.47
  6. Step 6: Final answer
    x = 58.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.