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Finding the Fourth Proportional to 288.70, 432.79 and 106.08

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Solution

The fourth proportional to 288.70, 432.79 and 106.08 is: 159.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.70 : 432.79 = 106.08 : x
  2. Step 2: Convert to fraction form
    288.70/432.79 = 106.08/x
  3. Step 3: Cross multiply
    288.70x = 432.79 × 106.08
  4. Step 4: Simplify right side
    288.70x = 45,909.07
  5. Step 5: Solve for x
    x = 45,909.07/288.70
  6. Step 6: Final answer
    x = 159.02

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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.