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Finding the Fourth Proportional to 161.99, 242.93 and 97.02

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Solution

The fourth proportional to 161.99, 242.93 and 97.02 is: 145.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.99 : 242.93 = 97.02 : x
  2. Step 2: Convert to fraction form
    161.99/242.93 = 97.02/x
  3. Step 3: Cross multiply
    161.99x = 242.93 × 97.02
  4. Step 4: Simplify right side
    161.99x = 23,568.58
  5. Step 5: Solve for x
    x = 23,568.58/161.99
  6. Step 6: Final answer
    x = 145.50

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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.