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Finding the Fourth Proportional to 64.24, 95.05 and 64.06

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Solution

The fourth proportional to 64.24, 95.05 and 64.06 is: 94.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.24 : 95.05 = 64.06 : x
  2. Step 2: Convert to fraction form
    64.24/95.05 = 64.06/x
  3. Step 3: Cross multiply
    64.24x = 95.05 × 64.06
  4. Step 4: Simplify right side
    64.24x = 6,088.90
  5. Step 5: Solve for x
    x = 6,088.90/64.24
  6. Step 6: Final answer
    x = 94.78

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.