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Finding the Fourth Proportional to 64.89, 89.57 and 53.96

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Solution

The fourth proportional to 64.89, 89.57 and 53.96 is: 74.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.89 : 89.57 = 53.96 : x
  2. Step 2: Convert to fraction form
    64.89/89.57 = 53.96/x
  3. Step 3: Cross multiply
    64.89x = 89.57 × 53.96
  4. Step 4: Simplify right side
    64.89x = 4,832.88
  5. Step 5: Solve for x
    x = 4,832.88/64.89
  6. Step 6: Final answer
    x = 74.48

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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.