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Finding the Fourth Proportional to 64.80, 89.42 and 41.47

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Solution

The fourth proportional to 64.80, 89.42 and 41.47 is: 57.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.80 : 89.42 = 41.47 : x
  2. Step 2: Convert to fraction form
    64.80/89.42 = 41.47/x
  3. Step 3: Cross multiply
    64.80x = 89.42 × 41.47
  4. Step 4: Simplify right side
    64.80x = 3,707.82
  5. Step 5: Solve for x
    x = 3,707.82/64.80
  6. Step 6: Final answer
    x = 57.22

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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.