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Finding the Fourth Proportional to 85.84, 118.34 and 56.70

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Solution

The fourth proportional to 85.84, 118.34 and 56.70 is: 78.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.84 : 118.34 = 56.70 : x
  2. Step 2: Convert to fraction form
    85.84/118.34 = 56.70/x
  3. Step 3: Cross multiply
    85.84x = 118.34 × 56.70
  4. Step 4: Simplify right side
    85.84x = 6,709.88
  5. Step 5: Solve for x
    x = 6,709.88/85.84
  6. Step 6: Final answer
    x = 78.17

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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.