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Finding the Fourth Proportional to 65.60, 90.57 and 57.77

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Solution

The fourth proportional to 65.60, 90.57 and 57.77 is: 79.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.60 : 90.57 = 57.77 : x
  2. Step 2: Convert to fraction form
    65.60/90.57 = 57.77/x
  3. Step 3: Cross multiply
    65.60x = 90.57 × 57.77
  4. Step 4: Simplify right side
    65.60x = 5,231.78
  5. Step 5: Solve for x
    x = 5,231.78/65.60
  6. Step 6: Final answer
    x = 79.76

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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.