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Finding the Fourth Proportional to 88.38, 121.84 and 65.07

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Solution

The fourth proportional to 88.38, 121.84 and 65.07 is: 89.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.38 : 121.84 = 65.07 : x
  2. Step 2: Convert to fraction form
    88.38/121.84 = 65.07/x
  3. Step 3: Cross multiply
    88.38x = 121.84 × 65.07
  4. Step 4: Simplify right side
    88.38x = 7,927.97
  5. Step 5: Solve for x
    x = 7,927.97/88.38
  6. Step 6: Final answer
    x = 89.70

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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.