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Finding the Fourth Proportional to 284.93, 427.36 and 89.93

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Solution

The fourth proportional to 284.93, 427.36 and 89.93 is: 134.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.93 : 427.36 = 89.93 : x
  2. Step 2: Convert to fraction form
    284.93/427.36 = 89.93/x
  3. Step 3: Cross multiply
    284.93x = 427.36 × 89.93
  4. Step 4: Simplify right side
    284.93x = 38,430.35
  5. Step 5: Solve for x
    x = 38,430.35/284.93
  6. Step 6: Final answer
    x = 134.88

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