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Finding the Fourth Proportional to 56.52, 84.40 and 55.94

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Solution

The fourth proportional to 56.52, 84.40 and 55.94 is: 83.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.52 : 84.40 = 55.94 : x
  2. Step 2: Convert to fraction form
    56.52/84.40 = 55.94/x
  3. Step 3: Cross multiply
    56.52x = 84.40 × 55.94
  4. Step 4: Simplify right side
    56.52x = 4,721.34
  5. Step 5: Solve for x
    x = 4,721.34/56.52
  6. Step 6: Final answer
    x = 83.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.