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Finding the Fourth Proportional to 97.25, 145.96 and 45.93

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Solution

The fourth proportional to 97.25, 145.96 and 45.93 is: 68.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.25 : 145.96 = 45.93 : x
  2. Step 2: Convert to fraction form
    97.25/145.96 = 45.93/x
  3. Step 3: Cross multiply
    97.25x = 145.96 × 45.93
  4. Step 4: Simplify right side
    97.25x = 6,703.94
  5. Step 5: Solve for x
    x = 6,703.94/97.25
  6. Step 6: Final answer
    x = 68.94

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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.