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Finding the Fourth Proportional to 64.60, 89.09 and 46.14

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Solution

The fourth proportional to 64.60, 89.09 and 46.14 is: 63.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.60 : 89.09 = 46.14 : x
  2. Step 2: Convert to fraction form
    64.60/89.09 = 46.14/x
  3. Step 3: Cross multiply
    64.60x = 89.09 × 46.14
  4. Step 4: Simplify right side
    64.60x = 4,110.61
  5. Step 5: Solve for x
    x = 4,110.61/64.60
  6. Step 6: Final answer
    x = 63.63

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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.