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Finding the Fourth Proportional to 64.83, 97.14 and 34.35

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Solution

The fourth proportional to 64.83, 97.14 and 34.35 is: 51.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.83 : 97.14 = 34.35 : x
  2. Step 2: Convert to fraction form
    64.83/97.14 = 34.35/x
  3. Step 3: Cross multiply
    64.83x = 97.14 × 34.35
  4. Step 4: Simplify right side
    64.83x = 3,336.76
  5. Step 5: Solve for x
    x = 3,336.76/64.83
  6. Step 6: Final answer
    x = 51.47

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