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Finding the Fourth Proportional to 48.97, 73.55 and 40.02

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Solution

The fourth proportional to 48.97, 73.55 and 40.02 is: 60.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.97 : 73.55 = 40.02 : x
  2. Step 2: Convert to fraction form
    48.97/73.55 = 40.02/x
  3. Step 3: Cross multiply
    48.97x = 73.55 × 40.02
  4. Step 4: Simplify right side
    48.97x = 2,943.47
  5. Step 5: Solve for x
    x = 2,943.47/48.97
  6. Step 6: Final answer
    x = 60.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.