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Finding the Fourth Proportional to 135.85, 187.40 and 117.14

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Solution

The fourth proportional to 135.85, 187.40 and 117.14 is: 161.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.85 : 187.40 = 117.14 : x
  2. Step 2: Convert to fraction form
    135.85/187.40 = 117.14/x
  3. Step 3: Cross multiply
    135.85x = 187.40 × 117.14
  4. Step 4: Simplify right side
    135.85x = 21,952.80
  5. Step 5: Solve for x
    x = 21,952.80/135.85
  6. Step 6: Final answer
    x = 161.60

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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.