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Finding the Fourth Proportional to 360.04, 540.02 and 100.06

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Solution

The fourth proportional to 360.04, 540.02 and 100.06 is: 150.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.04 : 540.02 = 100.06 : x
  2. Step 2: Convert to fraction form
    360.04/540.02 = 100.06/x
  3. Step 3: Cross multiply
    360.04x = 540.02 × 100.06
  4. Step 4: Simplify right side
    360.04x = 54,034.40
  5. Step 5: Solve for x
    x = 54,034.40/360.04
  6. Step 6: Final answer
    x = 150.08

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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.