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Finding the Fourth Proportional to 78.25, 117.41 and 32.63

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Solution

The fourth proportional to 78.25, 117.41 and 32.63 is: 48.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.25 : 117.41 = 32.63 : x
  2. Step 2: Convert to fraction form
    78.25/117.41 = 32.63/x
  3. Step 3: Cross multiply
    78.25x = 117.41 × 32.63
  4. Step 4: Simplify right side
    78.25x = 3,830.79
  5. Step 5: Solve for x
    x = 3,830.79/78.25
  6. Step 6: Final answer
    x = 48.96

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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.