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Finding the Fourth Proportional to 156.68, 235.29 and 101.93

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Solution

The fourth proportional to 156.68, 235.29 and 101.93 is: 153.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.68 : 235.29 = 101.93 : x
  2. Step 2: Convert to fraction form
    156.68/235.29 = 101.93/x
  3. Step 3: Cross multiply
    156.68x = 235.29 × 101.93
  4. Step 4: Simplify right side
    156.68x = 23,982.43
  5. Step 5: Solve for x
    x = 23,982.43/156.68
  6. Step 6: Final answer
    x = 153.07

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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.