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Finding the Fourth Proportional to 114.32, 157.79 and 77.54

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Solution

The fourth proportional to 114.32, 157.79 and 77.54 is: 107.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.32 : 157.79 = 77.54 : x
  2. Step 2: Convert to fraction form
    114.32/157.79 = 77.54/x
  3. Step 3: Cross multiply
    114.32x = 157.79 × 77.54
  4. Step 4: Simplify right side
    114.32x = 12,235.04
  5. Step 5: Solve for x
    x = 12,235.04/114.32
  6. Step 6: Final answer
    x = 107.02

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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.