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Finding the Fourth Proportional to 135.16, 186.27 and 106

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Solution

The fourth proportional to 135.16, 186.27 and 106 is: 146.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.16 : 186.27 = 106 : x
  2. Step 2: Convert to fraction form
    135.16/186.27 = 106/x
  3. Step 3: Cross multiply
    135.16x = 186.27 × 106
  4. Step 4: Simplify right side
    135.16x = 19,744.62
  5. Step 5: Solve for x
    x = 19,744.62/135.16
  6. Step 6: Final answer
    x = 146.08

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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.