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Finding the Fourth Proportional to 97.33, 145.87 and 46

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Solution

The fourth proportional to 97.33, 145.87 and 46 is: 68.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.33 : 145.87 = 46 : x
  2. Step 2: Convert to fraction form
    97.33/145.87 = 46/x
  3. Step 3: Cross multiply
    97.33x = 145.87 × 46
  4. Step 4: Simplify right side
    97.33x = 6,710.02
  5. Step 5: Solve for x
    x = 6,710.02/97.33
  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.