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Finding the Fourth Proportional to 158.02, 236.45 and 96.35

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Solution

The fourth proportional to 158.02, 236.45 and 96.35 is: 144.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.02 : 236.45 = 96.35 : x
  2. Step 2: Convert to fraction form
    158.02/236.45 = 96.35/x
  3. Step 3: Cross multiply
    158.02x = 236.45 × 96.35
  4. Step 4: Simplify right side
    158.02x = 22,781.02
  5. Step 5: Solve for x
    x = 22,781.02/158.02
  6. Step 6: Final answer
    x = 144.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.