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Finding the Fourth Proportional to 105.82, 146.03 and 64.35

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Solution

The fourth proportional to 105.82, 146.03 and 64.35 is: 88.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.82 : 146.03 = 64.35 : x
  2. Step 2: Convert to fraction form
    105.82/146.03 = 64.35/x
  3. Step 3: Cross multiply
    105.82x = 146.03 × 64.35
  4. Step 4: Simplify right side
    105.82x = 9,396.71
  5. Step 5: Solve for x
    x = 9,396.71/105.82
  6. Step 6: Final answer
    x = 88.80

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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.