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Finding the Fourth Proportional to 108.48, 149.16 and 106.56

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Solution

The fourth proportional to 108.48, 149.16 and 106.56 is: 146.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.48 : 149.16 = 106.56 : x
  2. Step 2: Convert to fraction form
    108.48/149.16 = 106.56/x
  3. Step 3: Cross multiply
    108.48x = 149.16 × 106.56
  4. Step 4: Simplify right side
    108.48x = 15,894.49
  5. Step 5: Solve for x
    x = 15,894.49/108.48
  6. Step 6: Final answer
    x = 146.52

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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.