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Finding the Fourth Proportional to 156.89, 216.36 and 106.98

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Solution

The fourth proportional to 156.89, 216.36 and 106.98 is: 147.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.89 : 216.36 = 106.98 : x
  2. Step 2: Convert to fraction form
    156.89/216.36 = 106.98/x
  3. Step 3: Cross multiply
    156.89x = 216.36 × 106.98
  4. Step 4: Simplify right side
    156.89x = 23,146.19
  5. Step 5: Solve for x
    x = 23,146.19/156.89
  6. Step 6: Final answer
    x = 147.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.