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Finding the Fourth Proportional to 66.48, 99.78 and 32.27

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Solution

The fourth proportional to 66.48, 99.78 and 32.27 is: 48.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.48 : 99.78 = 32.27 : x
  2. Step 2: Convert to fraction form
    66.48/99.78 = 32.27/x
  3. Step 3: Cross multiply
    66.48x = 99.78 × 32.27
  4. Step 4: Simplify right side
    66.48x = 3,219.40
  5. Step 5: Solve for x
    x = 3,219.40/66.48
  6. Step 6: Final answer
    x = 48.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.