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Finding the Fourth Proportional to 101.78, 152.22 and 65.19

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Solution

The fourth proportional to 101.78, 152.22 and 65.19 is: 97.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.78 : 152.22 = 65.19 : x
  2. Step 2: Convert to fraction form
    101.78/152.22 = 65.19/x
  3. Step 3: Cross multiply
    101.78x = 152.22 × 65.19
  4. Step 4: Simplify right side
    101.78x = 9,923.22
  5. Step 5: Solve for x
    x = 9,923.22/101.78
  6. Step 6: Final answer
    x = 97.50

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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.