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Finding the Fourth Proportional to 53.00, 73.06 and 42.50

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Solution

The fourth proportional to 53.00, 73.06 and 42.50 is: 58.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.00 : 73.06 = 42.50 : x
  2. Step 2: Convert to fraction form
    53.00/73.06 = 42.50/x
  3. Step 3: Cross multiply
    53.00x = 73.06 × 42.50
  4. Step 4: Simplify right side
    53.00x = 3,105.13
  5. Step 5: Solve for x
    x = 3,105.13/53.00
  6. Step 6: Final answer
    x = 58.59

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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.