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Finding the Fourth Proportional to 120.53, 166.30 and 71.41

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Solution

The fourth proportional to 120.53, 166.30 and 71.41 is: 98.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.53 : 166.30 = 71.41 : x
  2. Step 2: Convert to fraction form
    120.53/166.30 = 71.41/x
  3. Step 3: Cross multiply
    120.53x = 166.30 × 71.41
  4. Step 4: Simplify right side
    120.53x = 11,875.48
  5. Step 5: Solve for x
    x = 11,875.48/120.53
  6. Step 6: Final answer
    x = 98.53

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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.