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Finding the Fourth Proportional to 120.48, 180.41 and 66.10

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Solution

The fourth proportional to 120.48, 180.41 and 66.10 is: 98.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.48 : 180.41 = 66.10 : x
  2. Step 2: Convert to fraction form
    120.48/180.41 = 66.10/x
  3. Step 3: Cross multiply
    120.48x = 180.41 × 66.10
  4. Step 4: Simplify right side
    120.48x = 11,925.10
  5. Step 5: Solve for x
    x = 11,925.10/120.48
  6. Step 6: Final answer
    x = 98.98

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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.