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Finding the Fourth Proportional to 45.53, 67.84 and 40.74

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Solution

The fourth proportional to 45.53, 67.84 and 40.74 is: 60.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.53 : 67.84 = 40.74 : x
  2. Step 2: Convert to fraction form
    45.53/67.84 = 40.74/x
  3. Step 3: Cross multiply
    45.53x = 67.84 × 40.74
  4. Step 4: Simplify right side
    45.53x = 2,763.45
  5. Step 5: Solve for x
    x = 2,763.45/45.53
  6. Step 6: Final answer
    x = 60.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.