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Finding the Fourth Proportional to 60.53, 83.54 and 47.57

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Solution

The fourth proportional to 60.53, 83.54 and 47.57 is: 65.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.53 : 83.54 = 47.57 : x
  2. Step 2: Convert to fraction form
    60.53/83.54 = 47.57/x
  3. Step 3: Cross multiply
    60.53x = 83.54 × 47.57
  4. Step 4: Simplify right side
    60.53x = 3,973.79
  5. Step 5: Solve for x
    x = 3,973.79/60.53
  6. Step 6: Final answer
    x = 65.65

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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.