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Finding the Fourth Proportional to 32.46, 48.15 and 32.05

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Solution

The fourth proportional to 32.46, 48.15 and 32.05 is: 47.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.46 : 48.15 = 32.05 : x
  2. Step 2: Convert to fraction form
    32.46/48.15 = 32.05/x
  3. Step 3: Cross multiply
    32.46x = 48.15 × 32.05
  4. Step 4: Simplify right side
    32.46x = 1,543.05
  5. Step 5: Solve for x
    x = 1,543.05/32.46
  6. Step 6: Final answer
    x = 47.54

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.