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Finding the Fourth Proportional to 114.34, 157.85 and 77.69

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Solution

The fourth proportional to 114.34, 157.85 and 77.69 is: 107.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.34 : 157.85 = 77.69 : x
  2. Step 2: Convert to fraction form
    114.34/157.85 = 77.69/x
  3. Step 3: Cross multiply
    114.34x = 157.85 × 77.69
  4. Step 4: Simplify right side
    114.34x = 12,263.37
  5. Step 5: Solve for x
    x = 12,263.37/114.34
  6. Step 6: Final answer
    x = 107.25

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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.