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Finding the Fourth Proportional to 288.06, 431.90 and 105.45

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Solution

The fourth proportional to 288.06, 431.90 and 105.45 is: 158.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.06 : 431.90 = 105.45 : x
  2. Step 2: Convert to fraction form
    288.06/431.90 = 105.45/x
  3. Step 3: Cross multiply
    288.06x = 431.90 × 105.45
  4. Step 4: Simplify right side
    288.06x = 45,543.33
  5. Step 5: Solve for x
    x = 45,543.33/288.06
  6. Step 6: Final answer
    x = 158.10

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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.