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Finding the Fourth Proportional to 130.99, 180.88 and 89.53

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Solution

The fourth proportional to 130.99, 180.88 and 89.53 is: 123.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.99 : 180.88 = 89.53 : x
  2. Step 2: Convert to fraction form
    130.99/180.88 = 89.53/x
  3. Step 3: Cross multiply
    130.99x = 180.88 × 89.53
  4. Step 4: Simplify right side
    130.99x = 16,194.19
  5. Step 5: Solve for x
    x = 16,194.19/130.99
  6. Step 6: Final answer
    x = 123.63

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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.