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Finding the Fourth Proportional to 88.42, 121.98 and 65.05

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Solution

The fourth proportional to 88.42, 121.98 and 65.05 is: 89.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.42 : 121.98 = 65.05 : x
  2. Step 2: Convert to fraction form
    88.42/121.98 = 65.05/x
  3. Step 3: Cross multiply
    88.42x = 121.98 × 65.05
  4. Step 4: Simplify right side
    88.42x = 7,934.19
  5. Step 5: Solve for x
    x = 7,934.19/88.42
  6. Step 6: Final answer
    x = 89.74

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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.