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Finding the Fourth Proportional to 64.96, 89.61 and 57.64

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Solution

The fourth proportional to 64.96, 89.61 and 57.64 is: 79.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.96 : 89.61 = 57.64 : x
  2. Step 2: Convert to fraction form
    64.96/89.61 = 57.64/x
  3. Step 3: Cross multiply
    64.96x = 89.61 × 57.64
  4. Step 4: Simplify right side
    64.96x = 5,165.12
  5. Step 5: Solve for x
    x = 5,165.12/64.96
  6. Step 6: Final answer
    x = 79.51

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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.