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Finding the Fourth Proportional to 357.01, 535.46 and 97.03

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Solution

The fourth proportional to 357.01, 535.46 and 97.03 is: 145.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.01 : 535.46 = 97.03 : x
  2. Step 2: Convert to fraction form
    357.01/535.46 = 97.03/x
  3. Step 3: Cross multiply
    357.01x = 535.46 × 97.03
  4. Step 4: Simplify right side
    357.01x = 51,954.59
  5. Step 5: Solve for x
    x = 51,954.59/357.01
  6. Step 6: Final answer
    x = 145.53

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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.