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Finding the Fourth Proportional to 157.06, 235.62 and 48.82

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Solution

The fourth proportional to 157.06, 235.62 and 48.82 is: 73.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.06 : 235.62 = 48.82 : x
  2. Step 2: Convert to fraction form
    157.06/235.62 = 48.82/x
  3. Step 3: Cross multiply
    157.06x = 235.62 × 48.82
  4. Step 4: Simplify right side
    157.06x = 11,502.97
  5. Step 5: Solve for x
    x = 11,502.97/157.06
  6. Step 6: Final answer
    x = 73.24

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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.