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Finding the Fourth Proportional to 97.65, 146.48 and 46.30

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Solution

The fourth proportional to 97.65, 146.48 and 46.30 is: 69.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.65 : 146.48 = 46.30 : x
  2. Step 2: Convert to fraction form
    97.65/146.48 = 46.30/x
  3. Step 3: Cross multiply
    97.65x = 146.48 × 46.30
  4. Step 4: Simplify right side
    97.65x = 6,782.02
  5. Step 5: Solve for x
    x = 6,782.02/97.65
  6. Step 6: Final answer
    x = 69.45

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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.