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Finding the Fourth Proportional to 146.69, 202.40 and 88.47

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Solution

The fourth proportional to 146.69, 202.40 and 88.47 is: 122.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.69 : 202.40 = 88.47 : x
  2. Step 2: Convert to fraction form
    146.69/202.40 = 88.47/x
  3. Step 3: Cross multiply
    146.69x = 202.40 × 88.47
  4. Step 4: Simplify right side
    146.69x = 17,905.89
  5. Step 5: Solve for x
    x = 17,905.89/146.69
  6. Step 6: Final answer
    x = 122.06

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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.