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Finding the Fourth Proportional to 84.88, 127.64 and 77.84

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Solution

The fourth proportional to 84.88, 127.64 and 77.84 is: 117.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.88 : 127.64 = 77.84 : x
  2. Step 2: Convert to fraction form
    84.88/127.64 = 77.84/x
  3. Step 3: Cross multiply
    84.88x = 127.64 × 77.84
  4. Step 4: Simplify right side
    84.88x = 9,935.50
  5. Step 5: Solve for x
    x = 9,935.50/84.88
  6. Step 6: Final answer
    x = 117.05

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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.