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Finding the Fourth Proportional to 64.93, 97.42 and 30.70

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Solution

The fourth proportional to 64.93, 97.42 and 30.70 is: 46.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.93 : 97.42 = 30.70 : x
  2. Step 2: Convert to fraction form
    64.93/97.42 = 30.70/x
  3. Step 3: Cross multiply
    64.93x = 97.42 × 30.70
  4. Step 4: Simplify right side
    64.93x = 2,990.23
  5. Step 5: Solve for x
    x = 2,990.23/64.93
  6. Step 6: Final answer
    x = 46.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.