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Finding the Fourth Proportional to 114.31, 157.76 and 70.64

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Solution

The fourth proportional to 114.31, 157.76 and 70.64 is: 97.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.31 : 157.76 = 70.64 : x
  2. Step 2: Convert to fraction form
    114.31/157.76 = 70.64/x
  3. Step 3: Cross multiply
    114.31x = 157.76 × 70.64
  4. Step 4: Simplify right side
    114.31x = 11,144.17
  5. Step 5: Solve for x
    x = 11,144.17/114.31
  6. Step 6: Final answer
    x = 97.49

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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.