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Finding the Fourth Proportional to 135.64, 187.18 and 76.63

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Solution

The fourth proportional to 135.64, 187.18 and 76.63 is: 105.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.64 : 187.18 = 76.63 : x
  2. Step 2: Convert to fraction form
    135.64/187.18 = 76.63/x
  3. Step 3: Cross multiply
    135.64x = 187.18 × 76.63
  4. Step 4: Simplify right side
    135.64x = 14,342.28
  5. Step 5: Solve for x
    x = 14,342.28/135.64
  6. Step 6: Final answer
    x = 105.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.