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Finding the Fourth Proportional to 114.96, 158.64 and 78.08

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Solution

The fourth proportional to 114.96, 158.64 and 78.08 is: 107.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.96 : 158.64 = 78.08 : x
  2. Step 2: Convert to fraction form
    114.96/158.64 = 78.08/x
  3. Step 3: Cross multiply
    114.96x = 158.64 × 78.08
  4. Step 4: Simplify right side
    114.96x = 12,386.61
  5. Step 5: Solve for x
    x = 12,386.61/114.96
  6. Step 6: Final answer
    x = 107.75

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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.