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Finding the Fourth Proportional to 64.62, 89.75 and 64.06

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Solution

The fourth proportional to 64.62, 89.75 and 64.06 is: 88.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.62 : 89.75 = 64.06 : x
  2. Step 2: Convert to fraction form
    64.62/89.75 = 64.06/x
  3. Step 3: Cross multiply
    64.62x = 89.75 × 64.06
  4. Step 4: Simplify right side
    64.62x = 5,749.39
  5. Step 5: Solve for x
    x = 5,749.39/64.62
  6. Step 6: Final answer
    x = 88.97

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.