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Finding the Fourth Proportional to 105.84, 158.58 and 65.14

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Solution

The fourth proportional to 105.84, 158.58 and 65.14 is: 97.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.84 : 158.58 = 65.14 : x
  2. Step 2: Convert to fraction form
    105.84/158.58 = 65.14/x
  3. Step 3: Cross multiply
    105.84x = 158.58 × 65.14
  4. Step 4: Simplify right side
    105.84x = 10,329.50
  5. Step 5: Solve for x
    x = 10,329.50/105.84
  6. Step 6: Final answer
    x = 97.60

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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.