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Finding the Fourth Proportional to 97.83, 146.75 and 40.05

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Solution

The fourth proportional to 97.83, 146.75 and 40.05 is: 60.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.83 : 146.75 = 40.05 : x
  2. Step 2: Convert to fraction form
    97.83/146.75 = 40.05/x
  3. Step 3: Cross multiply
    97.83x = 146.75 × 40.05
  4. Step 4: Simplify right side
    97.83x = 5,877.14
  5. Step 5: Solve for x
    x = 5,877.14/97.83
  6. Step 6: Final answer
    x = 60.08

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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.