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Finding the Fourth Proportional to 64.65, 89.16 and 41.31

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Solution

The fourth proportional to 64.65, 89.16 and 41.31 is: 56.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.65 : 89.16 = 41.31 : x
  2. Step 2: Convert to fraction form
    64.65/89.16 = 41.31/x
  3. Step 3: Cross multiply
    64.65x = 89.16 × 41.31
  4. Step 4: Simplify right side
    64.65x = 3,683.20
  5. Step 5: Solve for x
    x = 3,683.20/64.65
  6. Step 6: Final answer
    x = 56.97

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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.