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Finding the Fourth Proportional to 154.36, 212.93 and 99.04

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Solution

The fourth proportional to 154.36, 212.93 and 99.04 is: 136.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.36 : 212.93 = 99.04 : x
  2. Step 2: Convert to fraction form
    154.36/212.93 = 99.04/x
  3. Step 3: Cross multiply
    154.36x = 212.93 × 99.04
  4. Step 4: Simplify right side
    154.36x = 21,088.59
  5. Step 5: Solve for x
    x = 21,088.59/154.36
  6. Step 6: Final answer
    x = 136.62

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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.