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Finding the Fourth Proportional to 85.43, 117.87 and 55.93

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Solution

The fourth proportional to 85.43, 117.87 and 55.93 is: 77.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.43 : 117.87 = 55.93 : x
  2. Step 2: Convert to fraction form
    85.43/117.87 = 55.93/x
  3. Step 3: Cross multiply
    85.43x = 117.87 × 55.93
  4. Step 4: Simplify right side
    85.43x = 6,592.47
  5. Step 5: Solve for x
    x = 6,592.47/85.43
  6. Step 6: Final answer
    x = 77.17

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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.