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Finding the Fourth Proportional to 75.04, 112.55 and 26.27

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Solution

The fourth proportional to 75.04, 112.55 and 26.27 is: 39.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.04 : 112.55 = 26.27 : x
  2. Step 2: Convert to fraction form
    75.04/112.55 = 26.27/x
  3. Step 3: Cross multiply
    75.04x = 112.55 × 26.27
  4. Step 4: Simplify right side
    75.04x = 2,956.69
  5. Step 5: Solve for x
    x = 2,956.69/75.04
  6. Step 6: Final answer
    x = 39.40

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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.