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Finding the Fourth Proportional to 111.02, 153.17 and 65.02

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Solution

The fourth proportional to 111.02, 153.17 and 65.02 is: 89.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.02 : 153.17 = 65.02 : x
  2. Step 2: Convert to fraction form
    111.02/153.17 = 65.02/x
  3. Step 3: Cross multiply
    111.02x = 153.17 × 65.02
  4. Step 4: Simplify right side
    111.02x = 9,959.11
  5. Step 5: Solve for x
    x = 9,959.11/111.02
  6. Step 6: Final answer
    x = 89.71

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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.