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Finding the Fourth Proportional to 105.99, 146.28 and 62.34

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Solution

The fourth proportional to 105.99, 146.28 and 62.34 is: 86.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.99 : 146.28 = 62.34 : x
  2. Step 2: Convert to fraction form
    105.99/146.28 = 62.34/x
  3. Step 3: Cross multiply
    105.99x = 146.28 × 62.34
  4. Step 4: Simplify right side
    105.99x = 9,119.10
  5. Step 5: Solve for x
    x = 9,119.10/105.99
  6. Step 6: Final answer
    x = 86.04

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Why These Related Problems?

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