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Finding the Fourth Proportional to 73.85, 101.75 and 55.40

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Solution

The fourth proportional to 73.85, 101.75 and 55.40 is: 76.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.85 : 101.75 = 55.40 : x
  2. Step 2: Convert to fraction form
    73.85/101.75 = 55.40/x
  3. Step 3: Cross multiply
    73.85x = 101.75 × 55.40
  4. Step 4: Simplify right side
    73.85x = 5,636.16
  5. Step 5: Solve for x
    x = 5,636.16/73.85
  6. Step 6: Final answer
    x = 76.32

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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.