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Finding the Fourth Proportional to 152.56, 210.42 and 105.94

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Solution

The fourth proportional to 152.56, 210.42 and 105.94 is: 146.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.56 : 210.42 = 105.94 : x
  2. Step 2: Convert to fraction form
    152.56/210.42 = 105.94/x
  3. Step 3: Cross multiply
    152.56x = 210.42 × 105.94
  4. Step 4: Simplify right side
    152.56x = 22,291.89
  5. Step 5: Solve for x
    x = 22,291.89/152.56
  6. Step 6: Final answer
    x = 146.12

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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.