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Finding the Fourth Proportional to 64.54, 89.03 and 41.21

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Solution

The fourth proportional to 64.54, 89.03 and 41.21 is: 56.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.54 : 89.03 = 41.21 : x
  2. Step 2: Convert to fraction form
    64.54/89.03 = 41.21/x
  3. Step 3: Cross multiply
    64.54x = 89.03 × 41.21
  4. Step 4: Simplify right side
    64.54x = 3,668.28
  5. Step 5: Solve for x
    x = 3,668.28/64.54
  6. Step 6: Final answer
    x = 56.84

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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.