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Finding the Fourth Proportional to 75.12, 112.58 and 49.43

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Solution

The fourth proportional to 75.12, 112.58 and 49.43 is: 74.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.12 : 112.58 = 49.43 : x
  2. Step 2: Convert to fraction form
    75.12/112.58 = 49.43/x
  3. Step 3: Cross multiply
    75.12x = 112.58 × 49.43
  4. Step 4: Simplify right side
    75.12x = 5,564.83
  5. Step 5: Solve for x
    x = 5,564.83/75.12
  6. Step 6: Final answer
    x = 74.08

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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.