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Finding the Fourth Proportional to 114.10, 157.48 and 83.12

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Solution

The fourth proportional to 114.10, 157.48 and 83.12 is: 114.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.10 : 157.48 = 83.12 : x
  2. Step 2: Convert to fraction form
    114.10/157.48 = 83.12/x
  3. Step 3: Cross multiply
    114.10x = 157.48 × 83.12
  4. Step 4: Simplify right side
    114.10x = 13,089.74
  5. Step 5: Solve for x
    x = 13,089.74/114.10
  6. Step 6: Final answer
    x = 114.72

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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.