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Finding the Fourth Proportional to 62.34, 85.97 and 47.64

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Solution

The fourth proportional to 62.34, 85.97 and 47.64 is: 65.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.34 : 85.97 = 47.64 : x
  2. Step 2: Convert to fraction form
    62.34/85.97 = 47.64/x
  3. Step 3: Cross multiply
    62.34x = 85.97 × 47.64
  4. Step 4: Simplify right side
    62.34x = 4,095.37
  5. Step 5: Solve for x
    x = 4,095.37/62.34
  6. Step 6: Final answer
    x = 65.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.