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Finding the Fourth Proportional to 111.08, 165.70 and 101.99

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Solution

The fourth proportional to 111.08, 165.70 and 101.99 is: 152.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.08 : 165.70 = 101.99 : x
  2. Step 2: Convert to fraction form
    111.08/165.70 = 101.99/x
  3. Step 3: Cross multiply
    111.08x = 165.70 × 101.99
  4. Step 4: Simplify right side
    111.08x = 16,899.74
  5. Step 5: Solve for x
    x = 16,899.74/111.08
  6. Step 6: Final answer
    x = 152.14

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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.