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Finding the Fourth Proportional to 105.84, 158.42 and 65.07

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Solution

The fourth proportional to 105.84, 158.42 and 65.07 is: 97.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.84 : 158.42 = 65.07 : x
  2. Step 2: Convert to fraction form
    105.84/158.42 = 65.07/x
  3. Step 3: Cross multiply
    105.84x = 158.42 × 65.07
  4. Step 4: Simplify right side
    105.84x = 10,308.55
  5. Step 5: Solve for x
    x = 10,308.55/105.84
  6. Step 6: Final answer
    x = 97.40

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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.