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Finding the Fourth Proportional to 65.59, 90.59 and 57.85

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Solution

The fourth proportional to 65.59, 90.59 and 57.85 is: 79.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.59 : 90.59 = 57.85 : x
  2. Step 2: Convert to fraction form
    65.59/90.59 = 57.85/x
  3. Step 3: Cross multiply
    65.59x = 90.59 × 57.85
  4. Step 4: Simplify right side
    65.59x = 5,240.12
  5. Step 5: Solve for x
    x = 5,240.12/65.59
  6. Step 6: Final answer
    x = 79.90

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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.