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Finding the Fourth Proportional to 64.89, 97.70 and 46.98

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Solution

The fourth proportional to 64.89, 97.70 and 46.98 is: 70.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.89 : 97.70 = 46.98 : x
  2. Step 2: Convert to fraction form
    64.89/97.70 = 46.98/x
  3. Step 3: Cross multiply
    64.89x = 97.70 × 46.98
  4. Step 4: Simplify right side
    64.89x = 4,589.71
  5. Step 5: Solve for x
    x = 4,589.71/64.89
  6. Step 6: Final answer
    x = 70.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.