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Finding the Fourth Proportional to 288.47, 432.94 and 106

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Solution

The fourth proportional to 288.47, 432.94 and 106 is: 159.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.47 : 432.94 = 106 : x
  2. Step 2: Convert to fraction form
    288.47/432.94 = 106/x
  3. Step 3: Cross multiply
    288.47x = 432.94 × 106
  4. Step 4: Simplify right side
    288.47x = 45,891.64
  5. Step 5: Solve for x
    x = 45,891.64/288.47
  6. Step 6: Final answer
    x = 159.09

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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.