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Finding the Fourth Proportional to 110.48, 152.48 and 82.96

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Solution

The fourth proportional to 110.48, 152.48 and 82.96 is: 114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.48 : 152.48 = 82.96 : x
  2. Step 2: Convert to fraction form
    110.48/152.48 = 82.96/x
  3. Step 3: Cross multiply
    110.48x = 152.48 × 82.96
  4. Step 4: Simplify right side
    110.48x = 12,649.74
  5. Step 5: Solve for x
    x = 12,649.74/110.48
  6. Step 6: Final answer
    x = 114.50

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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.