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Finding the Fourth Proportional to 75.42, 103.32 and 72.65

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Solution

The fourth proportional to 75.42, 103.32 and 72.65 is: 99.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.42 : 103.32 = 72.65 : x
  2. Step 2: Convert to fraction form
    75.42/103.32 = 72.65/x
  3. Step 3: Cross multiply
    75.42x = 103.32 × 72.65
  4. Step 4: Simplify right side
    75.42x = 7,506.20
  5. Step 5: Solve for x
    x = 7,506.20/75.42
  6. Step 6: Final answer
    x = 99.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.