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Finding the Fourth Proportional to 88.64, 133.04 and 65.86

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Solution

The fourth proportional to 88.64, 133.04 and 65.86 is: 98.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.64 : 133.04 = 65.86 : x
  2. Step 2: Convert to fraction form
    88.64/133.04 = 65.86/x
  3. Step 3: Cross multiply
    88.64x = 133.04 × 65.86
  4. Step 4: Simplify right side
    88.64x = 8,762.01
  5. Step 5: Solve for x
    x = 8,762.01/88.64
  6. Step 6: Final answer
    x = 98.85

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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.