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Finding the Fourth Proportional to 350.07, 524.99 and 106.53

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Solution

The fourth proportional to 350.07, 524.99 and 106.53 is: 159.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.07 : 524.99 = 106.53 : x
  2. Step 2: Convert to fraction form
    350.07/524.99 = 106.53/x
  3. Step 3: Cross multiply
    350.07x = 524.99 × 106.53
  4. Step 4: Simplify right side
    350.07x = 55,924.03
  5. Step 5: Solve for x
    x = 55,924.03/350.07
  6. Step 6: Final answer
    x = 159.75

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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.