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Finding the Fourth Proportional to 88.77, 133.20 and 34.71

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Solution

The fourth proportional to 88.77, 133.20 and 34.71 is: 52.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.77 : 133.20 = 34.71 : x
  2. Step 2: Convert to fraction form
    88.77/133.20 = 34.71/x
  3. Step 3: Cross multiply
    88.77x = 133.20 × 34.71
  4. Step 4: Simplify right side
    88.77x = 4,623.37
  5. Step 5: Solve for x
    x = 4,623.37/88.77
  6. Step 6: Final answer
    x = 52.08

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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.