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Finding the Fourth Proportional to 135.08, 186.50 and 110.68

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Solution

The fourth proportional to 135.08, 186.50 and 110.68 is: 152.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.08 : 186.50 = 110.68 : x
  2. Step 2: Convert to fraction form
    135.08/186.50 = 110.68/x
  3. Step 3: Cross multiply
    135.08x = 186.50 × 110.68
  4. Step 4: Simplify right side
    135.08x = 20,641.82
  5. Step 5: Solve for x
    x = 20,641.82/135.08
  6. Step 6: Final answer
    x = 152.81

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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.