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Finding the Fourth Proportional to 135.24, 186.51 and 86.10

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Solution

The fourth proportional to 135.24, 186.51 and 86.10 is: 118.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.24 : 186.51 = 86.10 : x
  2. Step 2: Convert to fraction form
    135.24/186.51 = 86.10/x
  3. Step 3: Cross multiply
    135.24x = 186.51 × 86.10
  4. Step 4: Simplify right side
    135.24x = 16,058.51
  5. Step 5: Solve for x
    x = 16,058.51/135.24
  6. Step 6: Final answer
    x = 118.74

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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.