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Finding the Fourth Proportional to 162.03, 242.81 and 97.07

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Solution

The fourth proportional to 162.03, 242.81 and 97.07 is: 145.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.03 : 242.81 = 97.07 : x
  2. Step 2: Convert to fraction form
    162.03/242.81 = 97.07/x
  3. Step 3: Cross multiply
    162.03x = 242.81 × 97.07
  4. Step 4: Simplify right side
    162.03x = 23,567.87
  5. Step 5: Solve for x
    x = 23,567.87/162.03
  6. Step 6: Final answer
    x = 145.45

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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.