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Finding the Fourth Proportional to 135.76, 187.34 and 76.74

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Solution

The fourth proportional to 135.76, 187.34 and 76.74 is: 105.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.76 : 187.34 = 76.74 : x
  2. Step 2: Convert to fraction form
    135.76/187.34 = 76.74/x
  3. Step 3: Cross multiply
    135.76x = 187.34 × 76.74
  4. Step 4: Simplify right side
    135.76x = 14,376.47
  5. Step 5: Solve for x
    x = 14,376.47/135.76
  6. Step 6: Final answer
    x = 105.90

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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.