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Finding the Fourth Proportional to 93.58, 129.15 and 56.75

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Solution

The fourth proportional to 93.58, 129.15 and 56.75 is: 78.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.58 : 129.15 = 56.75 : x
  2. Step 2: Convert to fraction form
    93.58/129.15 = 56.75/x
  3. Step 3: Cross multiply
    93.58x = 129.15 × 56.75
  4. Step 4: Simplify right side
    93.58x = 7,329.26
  5. Step 5: Solve for x
    x = 7,329.26/93.58
  6. Step 6: Final answer
    x = 78.32

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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.