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Finding the Fourth Proportional to 111.86, 154.35 and 65.24

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Solution

The fourth proportional to 111.86, 154.35 and 65.24 is: 90.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.86 : 154.35 = 65.24 : x
  2. Step 2: Convert to fraction form
    111.86/154.35 = 65.24/x
  3. Step 3: Cross multiply
    111.86x = 154.35 × 65.24
  4. Step 4: Simplify right side
    111.86x = 10,068.70
  5. Step 5: Solve for x
    x = 10,068.70/111.86
  6. Step 6: Final answer
    x = 90.01

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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.