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Finding the Fourth Proportional to 156.90, 234.98 and 101.85

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Solution

The fourth proportional to 156.90, 234.98 and 101.85 is: 152.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.90 : 234.98 = 101.85 : x
  2. Step 2: Convert to fraction form
    156.90/234.98 = 101.85/x
  3. Step 3: Cross multiply
    156.90x = 234.98 × 101.85
  4. Step 4: Simplify right side
    156.90x = 23,932.20
  5. Step 5: Solve for x
    x = 23,932.20/156.90
  6. Step 6: Final answer
    x = 152.53

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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.