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Finding the Fourth Proportional to 120.48, 180.65 and 106.06

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Solution

The fourth proportional to 120.48, 180.65 and 106.06 is: 159.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.48 : 180.65 = 106.06 : x
  2. Step 2: Convert to fraction form
    120.48/180.65 = 106.06/x
  3. Step 3: Cross multiply
    120.48x = 180.65 × 106.06
  4. Step 4: Simplify right side
    120.48x = 19,159.74
  5. Step 5: Solve for x
    x = 19,159.74/120.48
  6. Step 6: Final answer
    x = 159.03

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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.