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Finding the Fourth Proportional to 156.47, 234.62 and 65.14

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Solution

The fourth proportional to 156.47, 234.62 and 65.14 is: 97.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.47 : 234.62 = 65.14 : x
  2. Step 2: Convert to fraction form
    156.47/234.62 = 65.14/x
  3. Step 3: Cross multiply
    156.47x = 234.62 × 65.14
  4. Step 4: Simplify right side
    156.47x = 15,282.48
  5. Step 5: Solve for x
    x = 15,282.48/156.47
  6. Step 6: Final answer
    x = 97.67

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Why These Related Problems?

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