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Finding the Fourth Proportional to 114.08, 157.32 and 72.63

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Solution

The fourth proportional to 114.08, 157.32 and 72.63 is: 100.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.08 : 157.32 = 72.63 : x
  2. Step 2: Convert to fraction form
    114.08/157.32 = 72.63/x
  3. Step 3: Cross multiply
    114.08x = 157.32 × 72.63
  4. Step 4: Simplify right side
    114.08x = 11,426.15
  5. Step 5: Solve for x
    x = 11,426.15/114.08
  6. Step 6: Final answer
    x = 100.16

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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.