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Finding the Fourth Proportional to 288.63, 432.95 and 106.07

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Solution

The fourth proportional to 288.63, 432.95 and 106.07 is: 159.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.63 : 432.95 = 106.07 : x
  2. Step 2: Convert to fraction form
    288.63/432.95 = 106.07/x
  3. Step 3: Cross multiply
    288.63x = 432.95 × 106.07
  4. Step 4: Simplify right side
    288.63x = 45,920.31
  5. Step 5: Solve for x
    x = 45,920.31/288.63
  6. Step 6: Final answer
    x = 159.10

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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.