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Finding the Fourth Proportional to 114.24, 157.70 and 72.83

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Solution

The fourth proportional to 114.24, 157.70 and 72.83 is: 100.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.24 : 157.70 = 72.83 : x
  2. Step 2: Convert to fraction form
    114.24/157.70 = 72.83/x
  3. Step 3: Cross multiply
    114.24x = 157.70 × 72.83
  4. Step 4: Simplify right side
    114.24x = 11,484.14
  5. Step 5: Solve for x
    x = 11,484.14/114.24
  6. Step 6: Final answer
    x = 100.53

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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.