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Finding the Fourth Proportional to 114.34, 171.54 and 78.34

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Solution

The fourth proportional to 114.34, 171.54 and 78.34 is: 117.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.34 : 171.54 = 78.34 : x
  2. Step 2: Convert to fraction form
    114.34/171.54 = 78.34/x
  3. Step 3: Cross multiply
    114.34x = 171.54 × 78.34
  4. Step 4: Simplify right side
    114.34x = 13,438.44
  5. Step 5: Solve for x
    x = 13,438.44/114.34
  6. Step 6: Final answer
    x = 117.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.