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Finding the Fourth Proportional to 93.02, 139.57 and 56.98

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Solution

The fourth proportional to 93.02, 139.57 and 56.98 is: 85.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.02 : 139.57 = 56.98 : x
  2. Step 2: Convert to fraction form
    93.02/139.57 = 56.98/x
  3. Step 3: Cross multiply
    93.02x = 139.57 × 56.98
  4. Step 4: Simplify right side
    93.02x = 7,951.72
  5. Step 5: Solve for x
    x = 7,951.72/93.02
  6. Step 6: Final answer
    x = 85.48

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Why These Related Problems?

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