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Finding the Fourth Proportional to 156.86, 235.12 and 65.50

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Solution

The fourth proportional to 156.86, 235.12 and 65.50 is: 98.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.86 : 235.12 = 65.50 : x
  2. Step 2: Convert to fraction form
    156.86/235.12 = 65.50/x
  3. Step 3: Cross multiply
    156.86x = 235.12 × 65.50
  4. Step 4: Simplify right side
    156.86x = 15,400.36
  5. Step 5: Solve for x
    x = 15,400.36/156.86
  6. Step 6: Final answer
    x = 98.18

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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.