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Finding the Fourth Proportional to 60.54, 83.57 and 47.46

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Solution

The fourth proportional to 60.54, 83.57 and 47.46 is: 65.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.54 : 83.57 = 47.46 : x
  2. Step 2: Convert to fraction form
    60.54/83.57 = 47.46/x
  3. Step 3: Cross multiply
    60.54x = 83.57 × 47.46
  4. Step 4: Simplify right side
    60.54x = 3,966.23
  5. Step 5: Solve for x
    x = 3,966.23/60.54
  6. Step 6: Final answer
    x = 65.51

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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.