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Finding the Fourth Proportional to 78.10, 117.08 and 32.42

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Solution

The fourth proportional to 78.10, 117.08 and 32.42 is: 48.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.10 : 117.08 = 32.42 : x
  2. Step 2: Convert to fraction form
    78.10/117.08 = 32.42/x
  3. Step 3: Cross multiply
    78.10x = 117.08 × 32.42
  4. Step 4: Simplify right side
    78.10x = 3,794.99
  5. Step 5: Solve for x
    x = 3,794.99/78.10
  6. Step 6: Final answer
    x = 48.59

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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.