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Finding the Fourth Proportional to 156.96, 235.26 and 84.70

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Solution

The fourth proportional to 156.96, 235.26 and 84.70 is: 126.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.96 : 235.26 = 84.70 : x
  2. Step 2: Convert to fraction form
    156.96/235.26 = 84.70/x
  3. Step 3: Cross multiply
    156.96x = 235.26 × 84.70
  4. Step 4: Simplify right side
    156.96x = 19,926.52
  5. Step 5: Solve for x
    x = 19,926.52/156.96
  6. Step 6: Final answer
    x = 126.95

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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.