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Finding the Fourth Proportional to 78.16, 107.80 and 49.04

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Solution

The fourth proportional to 78.16, 107.80 and 49.04 is: 67.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.16 : 107.80 = 49.04 : x
  2. Step 2: Convert to fraction form
    78.16/107.80 = 49.04/x
  3. Step 3: Cross multiply
    78.16x = 107.80 × 49.04
  4. Step 4: Simplify right side
    78.16x = 5,286.51
  5. Step 5: Solve for x
    x = 5,286.51/78.16
  6. Step 6: Final answer
    x = 67.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.