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Finding the Fourth Proportional to 116.84, 174.52 and 100.64

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Solution

The fourth proportional to 116.84, 174.52 and 100.64 is: 150.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.84 : 174.52 = 100.64 : x
  2. Step 2: Convert to fraction form
    116.84/174.52 = 100.64/x
  3. Step 3: Cross multiply
    116.84x = 174.52 × 100.64
  4. Step 4: Simplify right side
    116.84x = 17,563.69
  5. Step 5: Solve for x
    x = 17,563.69/116.84
  6. Step 6: Final answer
    x = 150.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.