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Finding the Fourth Proportional to 134.93, 186.16 and 76.70

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Solution

The fourth proportional to 134.93, 186.16 and 76.70 is: 105.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.93 : 186.16 = 76.70 : x
  2. Step 2: Convert to fraction form
    134.93/186.16 = 76.70/x
  3. Step 3: Cross multiply
    134.93x = 186.16 × 76.70
  4. Step 4: Simplify right side
    134.93x = 14,278.47
  5. Step 5: Solve for x
    x = 14,278.47/134.93
  6. Step 6: Final answer
    x = 105.82

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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.