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Finding the Fourth Proportional to 288.01, 432.06 and 102.90

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Solution

The fourth proportional to 288.01, 432.06 and 102.90 is: 154.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.01 : 432.06 = 102.90 : x
  2. Step 2: Convert to fraction form
    288.01/432.06 = 102.90/x
  3. Step 3: Cross multiply
    288.01x = 432.06 × 102.90
  4. Step 4: Simplify right side
    288.01x = 44,458.97
  5. Step 5: Solve for x
    x = 44,458.97/288.01
  6. Step 6: Final answer
    x = 154.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.