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Finding the Fourth Proportional to 158.04, 218.09 and 88.10

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Solution

The fourth proportional to 158.04, 218.09 and 88.10 is: 121.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.04 : 218.09 = 88.10 : x
  2. Step 2: Convert to fraction form
    158.04/218.09 = 88.10/x
  3. Step 3: Cross multiply
    158.04x = 218.09 × 88.10
  4. Step 4: Simplify right side
    158.04x = 19,214.26
  5. Step 5: Solve for x
    x = 19,214.26/158.04
  6. Step 6: Final answer
    x = 121.58

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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.