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Finding the Fourth Proportional to 134.51, 185.27 and 101.70

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Solution

The fourth proportional to 134.51, 185.27 and 101.70 is: 140.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.51 : 185.27 = 101.70 : x
  2. Step 2: Convert to fraction form
    134.51/185.27 = 101.70/x
  3. Step 3: Cross multiply
    134.51x = 185.27 × 101.70
  4. Step 4: Simplify right side
    134.51x = 18,841.45
  5. Step 5: Solve for x
    x = 18,841.45/134.51
  6. Step 6: Final answer
    x = 140.08

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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.