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Finding the Fourth Proportional to 175.04, 262.72 and 66.88

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Solution

The fourth proportional to 175.04, 262.72 and 66.88 is: 100.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.04 : 262.72 = 66.88 : x
  2. Step 2: Convert to fraction form
    175.04/262.72 = 66.88/x
  3. Step 3: Cross multiply
    175.04x = 262.72 × 66.88
  4. Step 4: Simplify right side
    175.04x = 17,570.71
  5. Step 5: Solve for x
    x = 17,570.71/175.04
  6. Step 6: Final answer
    x = 100.38

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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.