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Finding the Fourth Proportional to 114.35, 157.84 and 89.69

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Solution

The fourth proportional to 114.35, 157.84 and 89.69 is: 123.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.35 : 157.84 = 89.69 : x
  2. Step 2: Convert to fraction form
    114.35/157.84 = 89.69/x
  3. Step 3: Cross multiply
    114.35x = 157.84 × 89.69
  4. Step 4: Simplify right side
    114.35x = 14,156.67
  5. Step 5: Solve for x
    x = 14,156.67/114.35
  6. Step 6: Final answer
    x = 123.80

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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.