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Finding the Fourth Proportional to 110.56, 152.60 and 75.69

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Solution

The fourth proportional to 110.56, 152.60 and 75.69 is: 104.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.56 : 152.60 = 75.69 : x
  2. Step 2: Convert to fraction form
    110.56/152.60 = 75.69/x
  3. Step 3: Cross multiply
    110.56x = 152.60 × 75.69
  4. Step 4: Simplify right side
    110.56x = 11,549.49
  5. Step 5: Solve for x
    x = 11,549.49/110.56
  6. Step 6: Final answer
    x = 104.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.