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Finding the Fourth Proportional to 148.74, 205.23 and 105.10

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Solution

The fourth proportional to 148.74, 205.23 and 105.10 is: 145.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.74 : 205.23 = 105.10 : x
  2. Step 2: Convert to fraction form
    148.74/205.23 = 105.10/x
  3. Step 3: Cross multiply
    148.74x = 205.23 × 105.10
  4. Step 4: Simplify right side
    148.74x = 21,569.55
  5. Step 5: Solve for x
    x = 21,569.55/148.74
  6. Step 6: Final answer
    x = 145.02

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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.