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Finding the Fourth Proportional to 64.82, 89.52 and 64.10

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Solution

The fourth proportional to 64.82, 89.52 and 64.10 is: 88.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.82 : 89.52 = 64.10 : x
  2. Step 2: Convert to fraction form
    64.82/89.52 = 64.10/x
  3. Step 3: Cross multiply
    64.82x = 89.52 × 64.10
  4. Step 4: Simplify right side
    64.82x = 5,738.23
  5. Step 5: Solve for x
    x = 5,738.23/64.82
  6. Step 6: Final answer
    x = 88.53

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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.