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Finding the Fourth Proportional to 73.75, 101.85 and 73.30

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Solution

The fourth proportional to 73.75, 101.85 and 73.30 is: 101.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.75 : 101.85 = 73.30 : x
  2. Step 2: Convert to fraction form
    73.75/101.85 = 73.30/x
  3. Step 3: Cross multiply
    73.75x = 101.85 × 73.30
  4. Step 4: Simplify right side
    73.75x = 7,465.61
  5. Step 5: Solve for x
    x = 7,465.61/73.75
  6. Step 6: Final answer
    x = 101.23

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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.