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Finding the Fourth Proportional to 64.21, 88.45 and 51.97

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Solution

The fourth proportional to 64.21, 88.45 and 51.97 is: 71.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.21 : 88.45 = 51.97 : x
  2. Step 2: Convert to fraction form
    64.21/88.45 = 51.97/x
  3. Step 3: Cross multiply
    64.21x = 88.45 × 51.97
  4. Step 4: Simplify right side
    64.21x = 4,596.75
  5. Step 5: Solve for x
    x = 4,596.75/64.21
  6. Step 6: Final answer
    x = 71.59

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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.