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Finding the Fourth Proportional to 110.14, 152.77 and 106.48

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Solution

The fourth proportional to 110.14, 152.77 and 106.48 is: 147.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.14 : 152.77 = 106.48 : x
  2. Step 2: Convert to fraction form
    110.14/152.77 = 106.48/x
  3. Step 3: Cross multiply
    110.14x = 152.77 × 106.48
  4. Step 4: Simplify right side
    110.14x = 16,266.95
  5. Step 5: Solve for x
    x = 16,266.95/110.14
  6. Step 6: Final answer
    x = 147.69

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.