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Finding the Fourth Proportional to 94.04, 129.54 and 89.16

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Solution

The fourth proportional to 94.04, 129.54 and 89.16 is: 122.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.04 : 129.54 = 89.16 : x
  2. Step 2: Convert to fraction form
    94.04/129.54 = 89.16/x
  3. Step 3: Cross multiply
    94.04x = 129.54 × 89.16
  4. Step 4: Simplify right side
    94.04x = 11,549.79
  5. Step 5: Solve for x
    x = 11,549.79/94.04
  6. Step 6: Final answer
    x = 122.82

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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.