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Finding the Fourth Proportional to 156.97, 235.45 and 64.46

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Solution

The fourth proportional to 156.97, 235.45 and 64.46 is: 96.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.97 : 235.45 = 64.46 : x
  2. Step 2: Convert to fraction form
    156.97/235.45 = 64.46/x
  3. Step 3: Cross multiply
    156.97x = 235.45 × 64.46
  4. Step 4: Simplify right side
    156.97x = 15,177.53
  5. Step 5: Solve for x
    x = 15,177.53/156.97
  6. Step 6: Final answer
    x = 96.69

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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.