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Finding the Fourth Proportional to 73.54, 101.46 and 48.96

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Solution

The fourth proportional to 73.54, 101.46 and 48.96 is: 67.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.54 : 101.46 = 48.96 : x
  2. Step 2: Convert to fraction form
    73.54/101.46 = 48.96/x
  3. Step 3: Cross multiply
    73.54x = 101.46 × 48.96
  4. Step 4: Simplify right side
    73.54x = 4,967.48
  5. Step 5: Solve for x
    x = 4,967.48/73.54
  6. Step 6: Final answer
    x = 67.55

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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.