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Finding the Fourth Proportional to 114.39, 157.98 and 77.64

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Solution

The fourth proportional to 114.39, 157.98 and 77.64 is: 107.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.39 : 157.98 = 77.64 : x
  2. Step 2: Convert to fraction form
    114.39/157.98 = 77.64/x
  3. Step 3: Cross multiply
    114.39x = 157.98 × 77.64
  4. Step 4: Simplify right side
    114.39x = 12,265.57
  5. Step 5: Solve for x
    x = 12,265.57/114.39
  6. Step 6: Final answer
    x = 107.23

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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.