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Finding the Fourth Proportional to 94.71, 130.70 and 53.26

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Solution

The fourth proportional to 94.71, 130.70 and 53.26 is: 73.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.71 : 130.70 = 53.26 : x
  2. Step 2: Convert to fraction form
    94.71/130.70 = 53.26/x
  3. Step 3: Cross multiply
    94.71x = 130.70 × 53.26
  4. Step 4: Simplify right side
    94.71x = 6,961.08
  5. Step 5: Solve for x
    x = 6,961.08/94.71
  6. Step 6: Final answer
    x = 73.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.