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Finding the Fourth Proportional to 88.59, 122.27 and 53.64

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Solution

The fourth proportional to 88.59, 122.27 and 53.64 is: 74.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.59 : 122.27 = 53.64 : x
  2. Step 2: Convert to fraction form
    88.59/122.27 = 53.64/x
  3. Step 3: Cross multiply
    88.59x = 122.27 × 53.64
  4. Step 4: Simplify right side
    88.59x = 6,557.68
  5. Step 5: Solve for x
    x = 6,557.68/88.59
  6. Step 6: Final answer
    x = 74.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.