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Finding the Fourth Proportional to 136.01, 187.65 and 77.78

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Solution

The fourth proportional to 136.01, 187.65 and 77.78 is: 107.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.01 : 187.65 = 77.78 : x
  2. Step 2: Convert to fraction form
    136.01/187.65 = 77.78/x
  3. Step 3: Cross multiply
    136.01x = 187.65 × 77.78
  4. Step 4: Simplify right side
    136.01x = 14,595.89
  5. Step 5: Solve for x
    x = 14,595.89/136.01
  6. Step 6: Final answer
    x = 107.31

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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.