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Finding the Fourth Proportional to 102.84, 141.84 and 89.88

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Solution

The fourth proportional to 102.84, 141.84 and 89.88 is: 123.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.84 : 141.84 = 89.88 : x
  2. Step 2: Convert to fraction form
    102.84/141.84 = 89.88/x
  3. Step 3: Cross multiply
    102.84x = 141.84 × 89.88
  4. Step 4: Simplify right side
    102.84x = 12,748.58
  5. Step 5: Solve for x
    x = 12,748.58/102.84
  6. Step 6: Final answer
    x = 123.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.