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Finding the Fourth Proportional to 134.77, 186 and 76.57

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Solution

The fourth proportional to 134.77, 186 and 76.57 is: 105.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.77 : 186 = 76.57 : x
  2. Step 2: Convert to fraction form
    134.77/186 = 76.57/x
  3. Step 3: Cross multiply
    134.77x = 186 × 76.57
  4. Step 4: Simplify right side
    134.77x = 14,242.02
  5. Step 5: Solve for x
    x = 14,242.02/134.77
  6. Step 6: Final answer
    x = 105.68

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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.