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Finding the Fourth Proportional to 75.70, 113.48 and 43.66

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Solution

The fourth proportional to 75.70, 113.48 and 43.66 is: 65.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.70 : 113.48 = 43.66 : x
  2. Step 2: Convert to fraction form
    75.70/113.48 = 43.66/x
  3. Step 3: Cross multiply
    75.70x = 113.48 × 43.66
  4. Step 4: Simplify right side
    75.70x = 4,954.54
  5. Step 5: Solve for x
    x = 4,954.54/75.70
  6. Step 6: Final answer
    x = 65.45

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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.