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Finding the Fourth Proportional to 107.61, 148.16 and 107.22

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Solution

The fourth proportional to 107.61, 148.16 and 107.22 is: 147.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.61 : 148.16 = 107.22 : x
  2. Step 2: Convert to fraction form
    107.61/148.16 = 107.22/x
  3. Step 3: Cross multiply
    107.61x = 148.16 × 107.22
  4. Step 4: Simplify right side
    107.61x = 15,885.18
  5. Step 5: Solve for x
    x = 15,885.18/107.61
  6. Step 6: Final answer
    x = 147.62

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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.