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Finding the Fourth Proportional to 85.62, 128.46 and 59.88

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Solution

The fourth proportional to 85.62, 128.46 and 59.88 is: 89.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.62 : 128.46 = 59.88 : x
  2. Step 2: Convert to fraction form
    85.62/128.46 = 59.88/x
  3. Step 3: Cross multiply
    85.62x = 128.46 × 59.88
  4. Step 4: Simplify right side
    85.62x = 7,692.18
  5. Step 5: Solve for x
    x = 7,692.18/85.62
  6. Step 6: Final answer
    x = 89.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.