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Finding the Fourth Proportional to 114.74, 158.39 and 78.02

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Solution

The fourth proportional to 114.74, 158.39 and 78.02 is: 107.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.74 : 158.39 = 78.02 : x
  2. Step 2: Convert to fraction form
    114.74/158.39 = 78.02/x
  3. Step 3: Cross multiply
    114.74x = 158.39 × 78.02
  4. Step 4: Simplify right side
    114.74x = 12,357.59
  5. Step 5: Solve for x
    x = 12,357.59/114.74
  6. Step 6: Final answer
    x = 107.70

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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.