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Finding the Fourth Proportional to 102.37, 153.20 and 86.14

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Solution

The fourth proportional to 102.37, 153.20 and 86.14 is: 128.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.37 : 153.20 = 86.14 : x
  2. Step 2: Convert to fraction form
    102.37/153.20 = 86.14/x
  3. Step 3: Cross multiply
    102.37x = 153.20 × 86.14
  4. Step 4: Simplify right side
    102.37x = 13,196.48
  5. Step 5: Solve for x
    x = 13,196.48/102.37
  6. Step 6: Final answer
    x = 128.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.