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Finding the Fourth Proportional to 111.84, 166.95 and 97.50

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Solution

The fourth proportional to 111.84, 166.95 and 97.50 is: 145.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.84 : 166.95 = 97.50 : x
  2. Step 2: Convert to fraction form
    111.84/166.95 = 97.50/x
  3. Step 3: Cross multiply
    111.84x = 166.95 × 97.50
  4. Step 4: Simplify right side
    111.84x = 16,277.63
  5. Step 5: Solve for x
    x = 16,277.63/111.84
  6. Step 6: Final answer
    x = 145.54

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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.