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Finding the Fourth Proportional to 156.57, 234.79 and 64.01

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Solution

The fourth proportional to 156.57, 234.79 and 64.01 is: 95.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.57 : 234.79 = 64.01 : x
  2. Step 2: Convert to fraction form
    156.57/234.79 = 64.01/x
  3. Step 3: Cross multiply
    156.57x = 234.79 × 64.01
  4. Step 4: Simplify right side
    156.57x = 15,028.37
  5. Step 5: Solve for x
    x = 15,028.37/156.57
  6. Step 6: Final answer
    x = 95.98

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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.