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Finding the Fourth Proportional to 102.34, 152.87 and 86.14

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Solution

The fourth proportional to 102.34, 152.87 and 86.14 is: 128.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.34 : 152.87 = 86.14 : x
  2. Step 2: Convert to fraction form
    102.34/152.87 = 86.14/x
  3. Step 3: Cross multiply
    102.34x = 152.87 × 86.14
  4. Step 4: Simplify right side
    102.34x = 13,167.79
  5. Step 5: Solve for x
    x = 13,167.79/102.34
  6. Step 6: Final answer
    x = 128.67

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Why These Related Problems?

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