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Finding the Fourth Proportional to 110.50, 152.64 and 86.24

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Solution

The fourth proportional to 110.50, 152.64 and 86.24 is: 119.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.50 : 152.64 = 86.24 : x
  2. Step 2: Convert to fraction form
    110.50/152.64 = 86.24/x
  3. Step 3: Cross multiply
    110.50x = 152.64 × 86.24
  4. Step 4: Simplify right side
    110.50x = 13,163.67
  5. Step 5: Solve for x
    x = 13,163.67/110.50
  6. Step 6: Final answer
    x = 119.13

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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.