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Finding the Fourth Proportional to 64.78, 97.16 and 37.70

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Solution

The fourth proportional to 64.78, 97.16 and 37.70 is: 56.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.78 : 97.16 = 37.70 : x
  2. Step 2: Convert to fraction form
    64.78/97.16 = 37.70/x
  3. Step 3: Cross multiply
    64.78x = 97.16 × 37.70
  4. Step 4: Simplify right side
    64.78x = 3,662.93
  5. Step 5: Solve for x
    x = 3,662.93/64.78
  6. Step 6: Final answer
    x = 56.54

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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.