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Finding the Fourth Proportional to 94.53, 130.53 and 65.02

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Solution

The fourth proportional to 94.53, 130.53 and 65.02 is: 89.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.53 : 130.53 = 65.02 : x
  2. Step 2: Convert to fraction form
    94.53/130.53 = 65.02/x
  3. Step 3: Cross multiply
    94.53x = 130.53 × 65.02
  4. Step 4: Simplify right side
    94.53x = 8,486.58
  5. Step 5: Solve for x
    x = 8,486.58/94.53
  6. Step 6: Final answer
    x = 89.78

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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.