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Finding the Fourth Proportional to 89.51, 123.67 and 71.22

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Solution

The fourth proportional to 89.51, 123.67 and 71.22 is: 98.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.51 : 123.67 = 71.22 : x
  2. Step 2: Convert to fraction form
    89.51/123.67 = 71.22/x
  3. Step 3: Cross multiply
    89.51x = 123.67 × 71.22
  4. Step 4: Simplify right side
    89.51x = 8,807.60
  5. Step 5: Solve for x
    x = 8,807.60/89.51
  6. Step 6: Final answer
    x = 98.40

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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.