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Finding the Fourth Proportional to 60.81, 90.76 and 56

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Solution

The fourth proportional to 60.81, 90.76 and 56 is: 83.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.81 : 90.76 = 56 : x
  2. Step 2: Convert to fraction form
    60.81/90.76 = 56/x
  3. Step 3: Cross multiply
    60.81x = 90.76 × 56
  4. Step 4: Simplify right side
    60.81x = 5,082.56
  5. Step 5: Solve for x
    x = 5,082.56/60.81
  6. Step 6: Final answer
    x = 83.58

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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.