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Finding the Fourth Proportional to 94.95, 130.73 and 90.02

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Solution

The fourth proportional to 94.95, 130.73 and 90.02 is: 123.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.95 : 130.73 = 90.02 : x
  2. Step 2: Convert to fraction form
    94.95/130.73 = 90.02/x
  3. Step 3: Cross multiply
    94.95x = 130.73 × 90.02
  4. Step 4: Simplify right side
    94.95x = 11,767.21
  5. Step 5: Solve for x
    x = 11,767.21/94.95
  6. Step 6: Final answer
    x = 123.93

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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.