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Finding the Fourth Proportional to 240.04, 360.06 and 77.72

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Solution

The fourth proportional to 240.04, 360.06 and 77.72 is: 116.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.04 : 360.06 = 77.72 : x
  2. Step 2: Convert to fraction form
    240.04/360.06 = 77.72/x
  3. Step 3: Cross multiply
    240.04x = 360.06 × 77.72
  4. Step 4: Simplify right side
    240.04x = 27,983.86
  5. Step 5: Solve for x
    x = 27,983.86/240.04
  6. Step 6: Final answer
    x = 116.58

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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.