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Finding the Fourth Proportional to 94.45, 130.40 and 59.53

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Solution

The fourth proportional to 94.45, 130.40 and 59.53 is: 82.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.45 : 130.40 = 59.53 : x
  2. Step 2: Convert to fraction form
    94.45/130.40 = 59.53/x
  3. Step 3: Cross multiply
    94.45x = 130.40 × 59.53
  4. Step 4: Simplify right side
    94.45x = 7,762.71
  5. Step 5: Solve for x
    x = 7,762.71/94.45
  6. Step 6: Final answer
    x = 82.19

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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.