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Finding the Fourth Proportional to 114.06, 157.36 and 72.06

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Solution

The fourth proportional to 114.06, 157.36 and 72.06 is: 99.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.06 : 157.36 = 72.06 : x
  2. Step 2: Convert to fraction form
    114.06/157.36 = 72.06/x
  3. Step 3: Cross multiply
    114.06x = 157.36 × 72.06
  4. Step 4: Simplify right side
    114.06x = 11,339.36
  5. Step 5: Solve for x
    x = 11,339.36/114.06
  6. Step 6: Final answer
    x = 99.42

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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.