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Finding the Fourth Proportional to 111.84, 154.35 and 65.23

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Solution

The fourth proportional to 111.84, 154.35 and 65.23 is: 90.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.84 : 154.35 = 65.23 : x
  2. Step 2: Convert to fraction form
    111.84/154.35 = 65.23/x
  3. Step 3: Cross multiply
    111.84x = 154.35 × 65.23
  4. Step 4: Simplify right side
    111.84x = 10,068.25
  5. Step 5: Solve for x
    x = 10,068.25/111.84
  6. Step 6: Final answer
    x = 90.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.