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Finding the Fourth Proportional to 157.53, 235.92 and 114.01

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Solution

The fourth proportional to 157.53, 235.92 and 114.01 is: 170.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.53 : 235.92 = 114.01 : x
  2. Step 2: Convert to fraction form
    157.53/235.92 = 114.01/x
  3. Step 3: Cross multiply
    157.53x = 235.92 × 114.01
  4. Step 4: Simplify right side
    157.53x = 26,897.24
  5. Step 5: Solve for x
    x = 26,897.24/157.53
  6. Step 6: Final answer
    x = 170.75

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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.