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Finding the Fourth Proportional to 157.02, 235.52 and 54.28

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Solution

The fourth proportional to 157.02, 235.52 and 54.28 is: 81.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.02 : 235.52 = 54.28 : x
  2. Step 2: Convert to fraction form
    157.02/235.52 = 54.28/x
  3. Step 3: Cross multiply
    157.02x = 235.52 × 54.28
  4. Step 4: Simplify right side
    157.02x = 12,784.03
  5. Step 5: Solve for x
    x = 12,784.03/157.02
  6. Step 6: Final answer
    x = 81.42

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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.