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Finding the Fourth Proportional to 242.12, 362.93 and 105.04

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Solution

The fourth proportional to 242.12, 362.93 and 105.04 is: 157.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.12 : 362.93 = 105.04 : x
  2. Step 2: Convert to fraction form
    242.12/362.93 = 105.04/x
  3. Step 3: Cross multiply
    242.12x = 362.93 × 105.04
  4. Step 4: Simplify right side
    242.12x = 38,122.10
  5. Step 5: Solve for x
    x = 38,122.10/242.12
  6. Step 6: Final answer
    x = 157.45

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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.