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Finding the Fourth Proportional to 110.43, 152.64 and 94.05

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Solution

The fourth proportional to 110.43, 152.64 and 94.05 is: 130.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.43 : 152.64 = 94.05 : x
  2. Step 2: Convert to fraction form
    110.43/152.64 = 94.05/x
  3. Step 3: Cross multiply
    110.43x = 152.64 × 94.05
  4. Step 4: Simplify right side
    110.43x = 14,355.79
  5. Step 5: Solve for x
    x = 14,355.79/110.43
  6. Step 6: Final answer
    x = 130.00

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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.