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Finding the Fourth Proportional to 56.34, 83.84 and 52.52

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Solution

The fourth proportional to 56.34, 83.84 and 52.52 is: 78.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.34 : 83.84 = 52.52 : x
  2. Step 2: Convert to fraction form
    56.34/83.84 = 52.52/x
  3. Step 3: Cross multiply
    56.34x = 83.84 × 52.52
  4. Step 4: Simplify right side
    56.34x = 4,402.60
  5. Step 5: Solve for x
    x = 4,402.60/56.34
  6. Step 6: Final answer
    x = 78.14

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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.