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Finding the Fourth Proportional to 75.54, 113.27 and 29.90

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Solution

The fourth proportional to 75.54, 113.27 and 29.90 is: 44.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.54 : 113.27 = 29.90 : x
  2. Step 2: Convert to fraction form
    75.54/113.27 = 29.90/x
  3. Step 3: Cross multiply
    75.54x = 113.27 × 29.90
  4. Step 4: Simplify right side
    75.54x = 3,386.06
  5. Step 5: Solve for x
    x = 3,386.06/75.54
  6. Step 6: Final answer
    x = 44.82

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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.