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Finding the Fourth Proportional to 90.78, 136.38 and 52.35

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Solution

The fourth proportional to 90.78, 136.38 and 52.35 is: 78.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.78 : 136.38 = 52.35 : x
  2. Step 2: Convert to fraction form
    90.78/136.38 = 52.35/x
  3. Step 3: Cross multiply
    90.78x = 136.38 × 52.35
  4. Step 4: Simplify right side
    90.78x = 7,140.03
  5. Step 5: Solve for x
    x = 7,140.03/90.78
  6. Step 6: Final answer
    x = 78.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.