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Finding the Fourth Proportional to 56.57, 84.54 and 47.46

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Solution

The fourth proportional to 56.57, 84.54 and 47.46 is: 70.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.57 : 84.54 = 47.46 : x
  2. Step 2: Convert to fraction form
    56.57/84.54 = 47.46/x
  3. Step 3: Cross multiply
    56.57x = 84.54 × 47.46
  4. Step 4: Simplify right side
    56.57x = 4,012.23
  5. Step 5: Solve for x
    x = 4,012.23/56.57
  6. Step 6: Final answer
    x = 70.92

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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.