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Finding the Fourth Proportional to 89.81, 123.91 and 65.28

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Solution

The fourth proportional to 89.81, 123.91 and 65.28 is: 90.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.81 : 123.91 = 65.28 : x
  2. Step 2: Convert to fraction form
    89.81/123.91 = 65.28/x
  3. Step 3: Cross multiply
    89.81x = 123.91 × 65.28
  4. Step 4: Simplify right side
    89.81x = 8,088.84
  5. Step 5: Solve for x
    x = 8,088.84/89.81
  6. Step 6: Final answer
    x = 90.07

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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.