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Finding the Fourth Proportional to 97.38, 145.94 and 42.50

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Solution

The fourth proportional to 97.38, 145.94 and 42.50 is: 63.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.38 : 145.94 = 42.50 : x
  2. Step 2: Convert to fraction form
    97.38/145.94 = 42.50/x
  3. Step 3: Cross multiply
    97.38x = 145.94 × 42.50
  4. Step 4: Simplify right side
    97.38x = 6,201.51
  5. Step 5: Solve for x
    x = 6,201.51/97.38
  6. Step 6: Final answer
    x = 63.68

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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.