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Finding the Fourth Proportional to 78.13, 117.18 and 34.79

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Solution

The fourth proportional to 78.13, 117.18 and 34.79 is: 52.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.13 : 117.18 = 34.79 : x
  2. Step 2: Convert to fraction form
    78.13/117.18 = 34.79/x
  3. Step 3: Cross multiply
    78.13x = 117.18 × 34.79
  4. Step 4: Simplify right side
    78.13x = 4,075.93
  5. Step 5: Solve for x
    x = 4,075.93/78.13
  6. Step 6: Final answer
    x = 52.17

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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.