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Finding the Fourth Proportional to 65.23, 97.89 and 31.01

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Solution

The fourth proportional to 65.23, 97.89 and 31.01 is: 46.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.23 : 97.89 = 31.01 : x
  2. Step 2: Convert to fraction form
    65.23/97.89 = 31.01/x
  3. Step 3: Cross multiply
    65.23x = 97.89 × 31.01
  4. Step 4: Simplify right side
    65.23x = 3,035.57
  5. Step 5: Solve for x
    x = 3,035.57/65.23
  6. Step 6: Final answer
    x = 46.54

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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.