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Finding the Fourth Proportional to 88.53, 122.23 and 65.24

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Solution

The fourth proportional to 88.53, 122.23 and 65.24 is: 90.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.53 : 122.23 = 65.24 : x
  2. Step 2: Convert to fraction form
    88.53/122.23 = 65.24/x
  3. Step 3: Cross multiply
    88.53x = 122.23 × 65.24
  4. Step 4: Simplify right side
    88.53x = 7,974.40
  5. Step 5: Solve for x
    x = 7,974.40/88.53
  6. Step 6: Final answer
    x = 90.08

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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.