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Finding the Fourth Proportional to 134.99, 186.17 and 114.32

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Solution

The fourth proportional to 134.99, 186.17 and 114.32 is: 157.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.99 : 186.17 = 114.32 : x
  2. Step 2: Convert to fraction form
    134.99/186.17 = 114.32/x
  3. Step 3: Cross multiply
    134.99x = 186.17 × 114.32
  4. Step 4: Simplify right side
    134.99x = 21,282.38
  5. Step 5: Solve for x
    x = 21,282.38/134.99
  6. Step 6: Final answer
    x = 157.66

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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.