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Finding the Fourth Proportional to 89.63, 123.70 and 50.84

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Solution

The fourth proportional to 89.63, 123.70 and 50.84 is: 70.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.63 : 123.70 = 50.84 : x
  2. Step 2: Convert to fraction form
    89.63/123.70 = 50.84/x
  3. Step 3: Cross multiply
    89.63x = 123.70 × 50.84
  4. Step 4: Simplify right side
    89.63x = 6,288.16
  5. Step 5: Solve for x
    x = 6,288.16/89.63
  6. Step 6: Final answer
    x = 70.16

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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.