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Finding the Fourth Proportional to 45.60, 63.05 and 34.66

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Solution

The fourth proportional to 45.60, 63.05 and 34.66 is: 47.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.60 : 63.05 = 34.66 : x
  2. Step 2: Convert to fraction form
    45.60/63.05 = 34.66/x
  3. Step 3: Cross multiply
    45.60x = 63.05 × 34.66
  4. Step 4: Simplify right side
    45.60x = 2,185.31
  5. Step 5: Solve for x
    x = 2,185.31/45.60
  6. Step 6: Final answer
    x = 47.92

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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.