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Finding the Fourth Proportional to 75.90, 113.76 and 32.54

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Solution

The fourth proportional to 75.90, 113.76 and 32.54 is: 48.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.90 : 113.76 = 32.54 : x
  2. Step 2: Convert to fraction form
    75.90/113.76 = 32.54/x
  3. Step 3: Cross multiply
    75.90x = 113.76 × 32.54
  4. Step 4: Simplify right side
    75.90x = 3,701.18
  5. Step 5: Solve for x
    x = 3,701.18/75.90
  6. Step 6: Final answer
    x = 48.77

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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.