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Finding the Fourth Proportional to 104.45, 144.06 and 65.14

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Solution

The fourth proportional to 104.45, 144.06 and 65.14 is: 89.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.45 : 144.06 = 65.14 : x
  2. Step 2: Convert to fraction form
    104.45/144.06 = 65.14/x
  3. Step 3: Cross multiply
    104.45x = 144.06 × 65.14
  4. Step 4: Simplify right side
    104.45x = 9,383.51
  5. Step 5: Solve for x
    x = 9,383.51/104.45
  6. Step 6: Final answer
    x = 89.84

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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.