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Finding the Fourth Proportional to 97, 145.41 and 56.41

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Solution

The fourth proportional to 97, 145.41 and 56.41 is: 84.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    97 : 145.41 = 56.41 : x
  2. Step 2: Convert to fraction form
    97/145.41 = 56.41/x
  3. Step 3: Cross multiply
    97x = 145.41 × 56.41
  4. Step 4: Simplify right side
    97x = 8,202.58
  5. Step 5: Solve for x
    x = 8,202.58/97
  6. Step 6: Final answer
    x = 84.56

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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.