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Finding the Fourth Proportional to 158.47, 218.71 and 88.56

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Solution

The fourth proportional to 158.47, 218.71 and 88.56 is: 122.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.47 : 218.71 = 88.56 : x
  2. Step 2: Convert to fraction form
    158.47/218.71 = 88.56/x
  3. Step 3: Cross multiply
    158.47x = 218.71 × 88.56
  4. Step 4: Simplify right side
    158.47x = 19,368.96
  5. Step 5: Solve for x
    x = 19,368.96/158.47
  6. Step 6: Final answer
    x = 122.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.