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Finding the Fourth Proportional to 97.65, 146.53 and 52.00

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Solution

The fourth proportional to 97.65, 146.53 and 52.00 is: 78.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.65 : 146.53 = 52.00 : x
  2. Step 2: Convert to fraction form
    97.65/146.53 = 52.00/x
  3. Step 3: Cross multiply
    97.65x = 146.53 × 52.00
  4. Step 4: Simplify right side
    97.65x = 7,618.83
  5. Step 5: Solve for x
    x = 7,618.83/97.65
  6. Step 6: Final answer
    x = 78.02

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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.