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Finding the Fourth Proportional to 101.84, 152.64 and 77.72

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Solution

The fourth proportional to 101.84, 152.64 and 77.72 is: 116.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.84 : 152.64 = 77.72 : x
  2. Step 2: Convert to fraction form
    101.84/152.64 = 77.72/x
  3. Step 3: Cross multiply
    101.84x = 152.64 × 77.72
  4. Step 4: Simplify right side
    101.84x = 11,863.18
  5. Step 5: Solve for x
    x = 11,863.18/101.84
  6. Step 6: Final answer
    x = 116.49

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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.