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Finding the Fourth Proportional to 156.76, 235.05 and 65.41

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Solution

The fourth proportional to 156.76, 235.05 and 65.41 is: 98.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.76 : 235.05 = 65.41 : x
  2. Step 2: Convert to fraction form
    156.76/235.05 = 65.41/x
  3. Step 3: Cross multiply
    156.76x = 235.05 × 65.41
  4. Step 4: Simplify right side
    156.76x = 15,374.62
  5. Step 5: Solve for x
    x = 15,374.62/156.76
  6. Step 6: Final answer
    x = 98.08

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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.