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Finding the Fourth Proportional to 114.34, 171.57 and 71.00

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Solution

The fourth proportional to 114.34, 171.57 and 71.00 is: 106.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.34 : 171.57 = 71.00 : x
  2. Step 2: Convert to fraction form
    114.34/171.57 = 71.00/x
  3. Step 3: Cross multiply
    114.34x = 171.57 × 71.00
  4. Step 4: Simplify right side
    114.34x = 12,180.48
  5. Step 5: Solve for x
    x = 12,180.48/114.34
  6. Step 6: Final answer
    x = 106.53

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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.