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Finding the Fourth Proportional to 134.97, 186.62 and 113.10

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Solution

The fourth proportional to 134.97, 186.62 and 113.10 is: 156.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.97 : 186.62 = 113.10 : x
  2. Step 2: Convert to fraction form
    134.97/186.62 = 113.10/x
  3. Step 3: Cross multiply
    134.97x = 186.62 × 113.10
  4. Step 4: Simplify right side
    134.97x = 21,106.16
  5. Step 5: Solve for x
    x = 21,106.16/134.97
  6. Step 6: Final answer
    x = 156.38

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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.