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Finding the Fourth Proportional to 284.98, 427.42 and 89.95

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Solution

The fourth proportional to 284.98, 427.42 and 89.95 is: 134.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.98 : 427.42 = 89.95 : x
  2. Step 2: Convert to fraction form
    284.98/427.42 = 89.95/x
  3. Step 3: Cross multiply
    284.98x = 427.42 × 89.95
  4. Step 4: Simplify right side
    284.98x = 38,446.36
  5. Step 5: Solve for x
    x = 38,446.36/284.98
  6. Step 6: Final answer
    x = 134.91

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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.