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Finding the Fourth Proportional to 114.30, 157.50 and 89.73

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Solution

The fourth proportional to 114.30, 157.50 and 89.73 is: 123.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.30 : 157.50 = 89.73 : x
  2. Step 2: Convert to fraction form
    114.30/157.50 = 89.73/x
  3. Step 3: Cross multiply
    114.30x = 157.50 × 89.73
  4. Step 4: Simplify right side
    114.30x = 14,132.48
  5. Step 5: Solve for x
    x = 14,132.48/114.30
  6. Step 6: Final answer
    x = 123.64

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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.