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Finding the Fourth Proportional to 101.86, 152.06 and 86.48

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Solution

The fourth proportional to 101.86, 152.06 and 86.48 is: 129.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.86 : 152.06 = 86.48 : x
  2. Step 2: Convert to fraction form
    101.86/152.06 = 86.48/x
  3. Step 3: Cross multiply
    101.86x = 152.06 × 86.48
  4. Step 4: Simplify right side
    101.86x = 13,150.15
  5. Step 5: Solve for x
    x = 13,150.15/101.86
  6. Step 6: Final answer
    x = 129.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.