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Finding the Fourth Proportional to 65.44, 97.93 and 47.35

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Solution

The fourth proportional to 65.44, 97.93 and 47.35 is: 70.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.44 : 97.93 = 47.35 : x
  2. Step 2: Convert to fraction form
    65.44/97.93 = 47.35/x
  3. Step 3: Cross multiply
    65.44x = 97.93 × 47.35
  4. Step 4: Simplify right side
    65.44x = 4,636.99
  5. Step 5: Solve for x
    x = 4,636.99/65.44
  6. Step 6: Final answer
    x = 70.86

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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.