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Finding the Fourth Proportional to 101.52, 152.82 and 77.76

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Solution

The fourth proportional to 101.52, 152.82 and 77.76 is: 117.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.52 : 152.82 = 77.76 : x
  2. Step 2: Convert to fraction form
    101.52/152.82 = 77.76/x
  3. Step 3: Cross multiply
    101.52x = 152.82 × 77.76
  4. Step 4: Simplify right side
    101.52x = 11,883.28
  5. Step 5: Solve for x
    x = 11,883.28/101.52
  6. Step 6: Final answer
    x = 117.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.