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Finding the Fourth Proportional to 78.12, 116.96 and 42.08

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Solution

The fourth proportional to 78.12, 116.96 and 42.08 is: 63.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.12 : 116.96 = 42.08 : x
  2. Step 2: Convert to fraction form
    78.12/116.96 = 42.08/x
  3. Step 3: Cross multiply
    78.12x = 116.96 × 42.08
  4. Step 4: Simplify right side
    78.12x = 4,921.68
  5. Step 5: Solve for x
    x = 4,921.68/78.12
  6. Step 6: Final answer
    x = 63.00

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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.