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Finding the Fourth Proportional to 64.60, 89.25 and 50.14

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Solution

The fourth proportional to 64.60, 89.25 and 50.14 is: 69.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.60 : 89.25 = 50.14 : x
  2. Step 2: Convert to fraction form
    64.60/89.25 = 50.14/x
  3. Step 3: Cross multiply
    64.60x = 89.25 × 50.14
  4. Step 4: Simplify right side
    64.60x = 4,475.00
  5. Step 5: Solve for x
    x = 4,475.00/64.60
  6. Step 6: Final answer
    x = 69.27

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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.