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Finding the Fourth Proportional to 102.28, 152.64 and 89.48

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Solution

The fourth proportional to 102.28, 152.64 and 89.48 is: 133.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.28 : 152.64 = 89.48 : x
  2. Step 2: Convert to fraction form
    102.28/152.64 = 89.48/x
  3. Step 3: Cross multiply
    102.28x = 152.64 × 89.48
  4. Step 4: Simplify right side
    102.28x = 13,658.23
  5. Step 5: Solve for x
    x = 13,658.23/102.28
  6. Step 6: Final answer
    x = 133.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.