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Finding the Fourth Proportional to 104.99, 157.32 and 97.43

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Solution

The fourth proportional to 104.99, 157.32 and 97.43 is: 145.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.99 : 157.32 = 97.43 : x
  2. Step 2: Convert to fraction form
    104.99/157.32 = 97.43/x
  3. Step 3: Cross multiply
    104.99x = 157.32 × 97.43
  4. Step 4: Simplify right side
    104.99x = 15,326.90
  5. Step 5: Solve for x
    x = 15,326.90/104.99
  6. Step 6: Final answer
    x = 145.99

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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.