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Finding the Fourth Proportional to 158.04, 236.61 and 97.02

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Solution

The fourth proportional to 158.04, 236.61 and 97.02 is: 145.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.04 : 236.61 = 97.02 : x
  2. Step 2: Convert to fraction form
    158.04/236.61 = 97.02/x
  3. Step 3: Cross multiply
    158.04x = 236.61 × 97.02
  4. Step 4: Simplify right side
    158.04x = 22,955.90
  5. Step 5: Solve for x
    x = 22,955.90/158.04
  6. Step 6: Final answer
    x = 145.25

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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.