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Finding the Fourth Proportional to 135.48, 186.51 and 117.75

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Solution

The fourth proportional to 135.48, 186.51 and 117.75 is: 162.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.48 : 186.51 = 117.75 : x
  2. Step 2: Convert to fraction form
    135.48/186.51 = 117.75/x
  3. Step 3: Cross multiply
    135.48x = 186.51 × 117.75
  4. Step 4: Simplify right side
    135.48x = 21,962.69
  5. Step 5: Solve for x
    x = 21,962.69/135.48
  6. Step 6: Final answer
    x = 162.11

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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.