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Finding the Fourth Proportional to 88.08, 132 and 65.12

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Solution

The fourth proportional to 88.08, 132 and 65.12 is: 97.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.08 : 132 = 65.12 : x
  2. Step 2: Convert to fraction form
    88.08/132 = 65.12/x
  3. Step 3: Cross multiply
    88.08x = 132 × 65.12
  4. Step 4: Simplify right side
    88.08x = 8,595.84
  5. Step 5: Solve for x
    x = 8,595.84/88.08
  6. Step 6: Final answer
    x = 97.59

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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.