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Finding the Fourth Proportional to 288.82, 432.95 and 106.16

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Solution

The fourth proportional to 288.82, 432.95 and 106.16 is: 159.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.82 : 432.95 = 106.16 : x
  2. Step 2: Convert to fraction form
    288.82/432.95 = 106.16/x
  3. Step 3: Cross multiply
    288.82x = 432.95 × 106.16
  4. Step 4: Simplify right side
    288.82x = 45,962.24
  5. Step 5: Solve for x
    x = 45,962.24/288.82
  6. Step 6: Final answer
    x = 159.14

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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.