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Finding the Fourth Proportional to 78.09, 117.15 and 39.54

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Solution

The fourth proportional to 78.09, 117.15 and 39.54 is: 59.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.09 : 117.15 = 39.54 : x
  2. Step 2: Convert to fraction form
    78.09/117.15 = 39.54/x
  3. Step 3: Cross multiply
    78.09x = 117.15 × 39.54
  4. Step 4: Simplify right side
    78.09x = 4,632.11
  5. Step 5: Solve for x
    x = 4,632.11/78.09
  6. Step 6: Final answer
    x = 59.32

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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.