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Finding the Fourth Proportional to 148.56, 204.64 and 109.68

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Solution

The fourth proportional to 148.56, 204.64 and 109.68 is: 151.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.56 : 204.64 = 109.68 : x
  2. Step 2: Convert to fraction form
    148.56/204.64 = 109.68/x
  3. Step 3: Cross multiply
    148.56x = 204.64 × 109.68
  4. Step 4: Simplify right side
    148.56x = 22,444.92
  5. Step 5: Solve for x
    x = 22,444.92/148.56
  6. Step 6: Final answer
    x = 151.08

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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.