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Finding the Fourth Proportional to 45.66, 63.02 and 37.46

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Solution

The fourth proportional to 45.66, 63.02 and 37.46 is: 51.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.66 : 63.02 = 37.46 : x
  2. Step 2: Convert to fraction form
    45.66/63.02 = 37.46/x
  3. Step 3: Cross multiply
    45.66x = 63.02 × 37.46
  4. Step 4: Simplify right side
    45.66x = 2,360.23
  5. Step 5: Solve for x
    x = 2,360.23/45.66
  6. Step 6: Final answer
    x = 51.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.