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Finding the Fourth Proportional to 35.60, 53.47 and 30.47

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Solution

The fourth proportional to 35.60, 53.47 and 30.47 is: 45.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.60 : 53.47 = 30.47 : x
  2. Step 2: Convert to fraction form
    35.60/53.47 = 30.47/x
  3. Step 3: Cross multiply
    35.60x = 53.47 × 30.47
  4. Step 4: Simplify right side
    35.60x = 1,629.03
  5. Step 5: Solve for x
    x = 1,629.03/35.60
  6. Step 6: Final answer
    x = 45.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.