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Finding the Fourth Proportional to 288.10, 432.14 and 71.67

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Solution

The fourth proportional to 288.10, 432.14 and 71.67 is: 107.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.10 : 432.14 = 71.67 : x
  2. Step 2: Convert to fraction form
    288.10/432.14 = 71.67/x
  3. Step 3: Cross multiply
    288.10x = 432.14 × 71.67
  4. Step 4: Simplify right side
    288.10x = 30,973.10
  5. Step 5: Solve for x
    x = 30,973.10/288.10
  6. Step 6: Final answer
    x = 107.51

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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.