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Finding the Fourth Proportional to 77.84, 107.43 and 45.08

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Solution

The fourth proportional to 77.84, 107.43 and 45.08 is: 62.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.84 : 107.43 = 45.08 : x
  2. Step 2: Convert to fraction form
    77.84/107.43 = 45.08/x
  3. Step 3: Cross multiply
    77.84x = 107.43 × 45.08
  4. Step 4: Simplify right side
    77.84x = 4,842.94
  5. Step 5: Solve for x
    x = 4,842.94/77.84
  6. Step 6: Final answer
    x = 62.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.