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Finding the Fourth Proportional to 46.32, 63.77 and 45.65

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Solution

The fourth proportional to 46.32, 63.77 and 45.65 is: 62.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.32 : 63.77 = 45.65 : x
  2. Step 2: Convert to fraction form
    46.32/63.77 = 45.65/x
  3. Step 3: Cross multiply
    46.32x = 63.77 × 45.65
  4. Step 4: Simplify right side
    46.32x = 2,910.55
  5. Step 5: Solve for x
    x = 2,910.55/46.32
  6. Step 6: Final answer
    x = 62.84

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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.