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Finding the Fourth Proportional to 156.53, 216.05 and 91.06

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Solution

The fourth proportional to 156.53, 216.05 and 91.06 is: 125.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.53 : 216.05 = 91.06 : x
  2. Step 2: Convert to fraction form
    156.53/216.05 = 91.06/x
  3. Step 3: Cross multiply
    156.53x = 216.05 × 91.06
  4. Step 4: Simplify right side
    156.53x = 19,672.52
  5. Step 5: Solve for x
    x = 19,672.52/156.53
  6. Step 6: Final answer
    x = 125.68

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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.