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Finding the Fourth Proportional to 134.94, 186.10 and 83.10

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Solution

The fourth proportional to 134.94, 186.10 and 83.10 is: 114.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.94 : 186.10 = 83.10 : x
  2. Step 2: Convert to fraction form
    134.94/186.10 = 83.10/x
  3. Step 3: Cross multiply
    134.94x = 186.10 × 83.10
  4. Step 4: Simplify right side
    134.94x = 15,463.77
  5. Step 5: Solve for x
    x = 15,463.77/134.94
  6. Step 6: Final answer
    x = 114.60

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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.